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

Q: Find two positive numbers, x and y, whose sum is 100 and whose product is as large as possible.

A: Let the two positive numbers are x and y. Now, Their sum is 100. That is,          x+y=100⇒y=100-x

Q: Find three consecutive even integers such that the sum of the squares of the first two is four less…

A: Let the three consecutive even integers are n , n+2, n+4

Q: How much more money would be in his account after 5 years if he saved $300 than if he saved $250?

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Q: A painter by himself can paint four rooms in 10 hours. If he hires a helper, they can do the same…

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Q: If the product of two positive numbers is 14 and their sum is 6, find the sum of their reciprocals.

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Q: The product of the current ages of Vanessa children is 360. If her oldest child is twice as old as…

A: Suppose, Vanessa has 2 children, whose ages are 2x, x such that: x < 2x  Given: x•2x = 360  So,…

Q: Find the positive number which gives the smallest answer when you add its square to 16 times its…

A: Let the number is x So,  when I add its square to 16 times its reciprocal, then I get: We have to…

Q: Find the number N such that fifteen less than twice the number is three fourths of the number.

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Q: Susan is 5 years older than her sister Lucy. The sum of the square of Lucy's age and twice the age…

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Q: A three digit number whose hundreds is twice the tens digit and the tens digit is 3 more than the…

A: GIVEN: A three-digit number whose hundreds is twice the tens digit and the tens digit is 3 more than…

Q: If 2 is multiplied by a number decreased by 4, the product is 100. Find the number.

A: Given statement is that number is decreased by 4 and then it is multiplied by 2. After…

Q: A collection of pennies and nickels has the value of $1.59. There is one more than twice as many…

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Q: Fahd's age is now twice the age of Faisal. If Fahd's age 6 years ago is equal to four times Faisal's…

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Q: How many blocks would he need on the 9th step of the

A: In this question, we need to count the blue blocks here we are using a geometric sequence with a…

Q: If Crystal multiplies her age by 3 and then adds 2, she will get a number equal to her mother's age.…

A: Given that , Mother's age = m Crystal's age in terms of m = ?

Q: Find the smaller of two consecutive integers such that twice the smaller exceeds the larger by 10.

A: We can solve the problem by taking the smaller one as x and the larger one as x+1.

Q: A jet from New York to Los Angeles, a distance of 4,200 km. The speed for the return trip was 100…

A: Given that Distance between New York to Los Angeles is 4,200km. Total time taken by the jet is 13…

Q: 700 is 10 times as much as

A: Let 700 is 10 times as much as x

Q: The ten’s digit of a number is 3 less than the unit’s digit. If the number is divided by the sum of…

A: Let x be the unit's digit and x - 3 be the ten's digit of  the number. First, we formulate an…

Q: If there are initially 3000 bacteria in a​ culture, and the number of bacteria doubles each​ hour,…

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Q: Ray is 19years older than his sister Danielle. In 10 years, he will be twice as old as Danielle. How…

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Q: Solve the problem. Suppose that you are to cut a piece of ribbon for a wreath that is 96 inches long…

A: Let the length of the ribbon pieces are x and 3x.

Q: Find three consecutive positive odd integers such that the square of the first is 9 more than 6…

A: Given : The square of the first is 9 more than 6 times the sum of the second and third

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 pair of numbers whose difference is 18 and whose product is as small as possible is

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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: Find three positive numbers that sum to 150 with the greatest possibleproduct of the three.

A: Given: we to find three numbers that sum to 150

Q: Find the two numbers whose sum is 28 and whose product is 192

A: Let's find.

Q: Agnes is 6 years older than her sister. She will be twice as old as her sister in 4 years. How old…

A: GIVEN : Agnes is 6 years older than her sister. In 4 years, Agnes will be twice as old as her…

Q: If the third of the three consecutive integers are increased by 14, it is equal to twice the first,…

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Q: A small pump can drain a pool in 7 hours. A large pump could drain the same pool in 4 hours. How…

A: Let the time needed to drain the pool if both pump used simultaneously is x. Use the formula,…

Q: Find the two consecutive positive integers such that the square of the first is decreased by 17…

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Q: Find two positive numbers whose sum is 84 and whose product is as big as possible.

A: It is number Problem.

Q: A positive integer is 4 less than another. If the reciprocal of the smaller integer is subtracted…

A: A positive integer is 4 less than another. The reciprocal of the smaller integer is subtracted from…

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: If there are initially 4500 bacteria in a​ culture, and the number of bacteria doubles each​ hour,…

A: In the question we have to find t when the number of bacteria in the culture reach 20,000​.

Q: Jess is twice as old as Dan , and Dan is four times as old as Jun . Express each of their ages in…

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Q: The sum of the two numbers is 15 . If the sum of their reciprocals is (3/10). Find the numbers

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Q: A small pipe can fill a tank in 6 min more than it takes a larger pipe to fill the same tank.…

A: A small pipe can fill a tank in 6 min more than it takes a larger pipe to fill the same tank.…

Q: The length of a rectangle is 5 feet longer than it is wide. If each side is increased 5 feet, then…

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Q: The product of two consecutive Even mumbers is 54 more than the larger of the two numbers. Find the…

A: We have to find two consecutive numbers when their product is 54 more than the larger of the two…

Q: Sadam is 10 yrs. More than twice Larry’s age, 4 yrs. ago Sadam was three times as old as Larry. How…

A: Given: Sadam is 10 yrs. More than twice Larry’s age, 4 yrs. ago Sadam was three times as old as…

Q: Sum of the present ages of two friends are 23 years, five years ago the product of their ages was…

A: The solution of given problem is given as follows :

Q: Thus, Dani's current age is

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Q: the sum of a number and 12 times its reciporcal is 8. find the number(s).

A: Given:Sum of a number and 12 times its reciprocal is 8.

Q: In a certain family, 11 times the number of children is greater by 12 than twice the square of the…

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Q: The father is 4 times as old as his daughter 5 years ago. In 6 years, he will be three times as old…

A: present age of daughter be x present age of father be y   5 years ago   daughhter's age :  x-5…

Q: Find two numbers differing by 38 whose product is as small as possible

A: let  one number = x  as difference between numbers = 38 other number = x + 38   Product of two…

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

A: Let the cost of saddle = $ x The cost of horse = $ 4x