The age of two friends A and B differ by 3 years. A’s father D is twice as old as A and B is twice as old as his sister C. The ages of C and D differ by 30 years. Find the ages of A and B.

Q: The sum of the ages of Nicole and Kristin is 32. In two years Nicole will be three times as old as…

A: Let, Nicole is x years old and Kristin is y years old then x+y=32  Given that in two years Nicole…

Q: Melissa, Shen, and Hans have a total of $126 in their wallets. Hans has 4 times what Melissa has.…

A: Algebra Question

Q: hose can fill a swimming pool in 4 hours. Another hose needs 9 more hours to fill the pool than the…

A: Given query is to find the time taken by the hose to fill the pool together.

Q: A water tank holds 702 gallons but is leaking at a rate of 4 gallons per week. A second water tank…

A: 1 tank holds 702 gallons and leaking at a rate 4 gallon  2 tank holds 936 gallons and leaking at a…

Q: A metric ton is 1000 kgand a British ton is 2000 Which has the greater weight and by how much

A: Given 1 Metric ton = 1000 kg 1 British ton = 2000 kg We need to find which has greater weight and by…

Q: A boy is one-third as old as his brother and 8 years younger than his sister. The sum of their ages…

A: Let,Boy's age be'x' yearsLet his brother's age be 'y' yearsLet his sister's age be 'z' yearsGiven…

Q: The sum of Jose and Maria's ages is twice the sum of their children's ages. How many children were…

A: In the given Question firstly make three equation and then solve and find Number of the children's…

Q: Taylor is five times as old as Spenser. The sum of their ages is eighteen. How old are Taylor and…

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Q: Two boats leave a port at the same​ time, one going north and the other traveling south. The…

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Q: a certain triangle, the measure of angle A is three times as big as the measure of angle C and the…

A: Given query is to find measure of angle A.

Q: An inlet pipe can fill a backyard pool in 10 hours, while the drain can empty it in 12 hours. If…

A: The fraction of the pool fill in 1 hour will be 110. The fraction of the pool drain in 1 hour will…

Q: Find the value of two numbers if their sum is 12 and their difference is 4

A: Hi we are supposed to do only one question at a time. Kindly repost the other question again.. Given…

Q: Melly is three times as old as Ador. In 5 years, Melly will be twice as old as Ador. How old Ador?

A: Given,           Melly is three times as old as Ador. In 5 years, Melly will be twice as old as…

Q: The sum of Annie's, Bert's, and Chris's ages is 60. Annie is older than Bert by the same number of…

A: Let Annie, Bert and Chris present ages be A, B and C. Given A+B+C=60 Let Annie be older than Bert by…

Q: Greg is 22years older than his sister Joan. In 19 years, he will be twice as old as Joan. How old is…

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Q: The sum of Clyde and Wendy’s age is 64. In four years, Wendy will be threetimes as old as Clyde. How…

A: To find the age of Clyde and Wendy.

Q: The product of the ages of A and N is 240. If twice the age of N is more than A’s age by 4 years,…

A: Let the age of A be a and the age of N be n. The given relations can be written as follows.

Q: The age of the older of two boys is twice that of the younger; 5 years ago it was three times that…

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Q: Kit is twice as old as his friend Sam. Sam is 5 years older than Cara. In 5 years, Kit will  be…

A: Form the equation using a variable and solve it.

Q: The measure of an angle in a triangle is 10° smaller than the largest angle and twice as large as…

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: Bob, Trinity, and Roger are painting their living room. Trinity takes twice the number of hours that…

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Q: Maxine and Sammie have lawns that are the same size. Maxine can mow her lawn in 24 minutes and…

A: Maxine can mow her lawn in 24 minutes, so the rate of work of Marine is 1/24 of the lawn per minute.…

Q: f Chad does a job in 7 hours less time than Chloe, and they can do the job together in 12 hours, how…

A: Let  Chloe dose a job in x hours, and Chad dose a job in y hours If Chad does a job in 7 hours less…

Q: Sally can paint a room in 3 hours while it takes Steve 7 hours to paint the same room how long would…

A: Sally can paint a room in 3 hours while it takes Steve 7 hours to paint the same room how long would…

Q: Caleb is 6 years older than Miranda. In 8 years the sum of their ages will be 74. How old is Caleb…

A: Caleb is 6 years older than Miranda. In 8 years the sum of their ages will be 74.

Q: Pat is 20 years older than his son James. In two years Pat will be twice as old as James. How old…

A: Let the age of James = x years Age of pat = (x + 20) years

Q: Find the larger of two numbers if their sum is 190 and the smaller number is 3/7 of the larger…

A: We need to find the larger of two numbers if their sum is 190 and the smaller number is 3/7 of the…

Q: Maria is 36 years old. Maria was twice as old as Adrian was when Maria was as old as Adrian is now.…

A: Given that Maria is 36 years old. Also, Maria was twice as old as Adrian was when Maria was as old…

Q: The sum of the ages of Alice, Barbie, and Cindy is 44. Alice is three times older than Cindy. Barbie…

A: Sum of age of Alice, Barbie and Cindy= 44 Alice age = 3 times the age of Cindy Barbie's age = Age of…

Q: An animal shelter has a total of 350 animals comprised of cats, dogs, and rabbits. If the number of…

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Q: Janes mother is 3 times as old as Jane, and in 16 years from now she will be twice as old as Jane is…

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Q: Donna, Trey, and Shen have a total of $77 in their wallets. She has 2 times what Trey has. Trey has…

A: Donna, Trey, and Shen have a total of $77 in their wallets. She has 2 times what Trey has. Trey has…

Q: Gwen is twice as old as Arni was when Gwen was as old as Arni is now. If Gwen is 24 years old now,…

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Q: la) The sum of the ages of Afful and Naomi is 34years. Five years to come, Afful will be 2 times the…

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Q: George can complete a project in 75 minutes, and if George and Walter both work on the project, they…

A: It is given that George can complete a project in 75 minutes. So, the George's rate of completion is…

Q: At Janice's current age she is not only 5 times as old as Ross, but she is also 28 years older than…

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Q: A piggy bank contains only nickels, dimes, and quarters. If there are 76 coins worth $8.50, and…

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Q: Two high-speed ferries leave at the same time from a city to go to the same island. The first ferry,…

A: The speed of first ferry, the cat, is vc = 39 miles per hour The speed of second ferry, the bird, is…

Q: Bella and her younger sister Eva are digging a hole to make an imu (underground oven) for the luau.…

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Q: Nanna has two sisters, Laurel and Jennifer. Jennifer is twice as old as Laurel, who is 44 years…

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Q: How far will the driver get if he drives at an average speed of 40 miles per hour for 3 hours and 45…

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Q: A horse and a saddle cost $5000. If the horse cost 4 times as much as thesaddle, what was the cost…

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Q: A train leaves Little Rock , Arkansas, and travels north at 55 kilometers per hour. Another rain…

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Q: Ashley is 64 years old and Stephanie is 18 years old. How many years will it take until Ashley is…

A: Solution of the problem as follows

Q: Thus, Dani's current age is

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Q: Jim and Tim share some marbles. If Jim gives Tim 4 marbles, he will have twice as many marbles as…

A: Given,         Jim and Tim share some marbles. Jim gives Tim 4 marbles, he will have twice as many…

Q: In one baseball season, Peter hit twice the difference of the number of home runs Alice hit and 6.…

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Q: A man’s age is 36 and that of his daughter is 3 years. In how many years will the man be 4 times as…

A: Man's age = 36 Daughter's age = 3  Let after x years man will be 4 times as old as his daughter

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.