The sum of a number and 6 is 8 more than twice the number the equation that could be used to find this numberx

Q: The product of two numbers is 4 and the sum of their squares is 8.Find the numbers.

A: Assumption of the numbers and their solution helps to find the required numbers. Addition of the…

Q: The sum of two positive numbers is 4 and the sum of their squares is 28. What are the two numbers?

A: Let the two numbers are x and y.Given that their sum =4 So, x+y=4

Q: Twice the sum of a number and 2 is equal to three times the difference of the number and 4. Find the…

A: Let x be the number.

Q: the sum of two numbers is 7 and the difference of their squares is 21. Find the numbers.

A: Let the first number be ‘x’ and second number be ‘y’.

Q: The sum of the squares of two positive numbers is 65 and the difference of the squares of the…

A: We have to find numbers.

Q: The product of one more than a number and twice the reciprocal of the number is 12/5, find the…

A: Let the number be n. By given condition, we have

Q: The sum of the square of a positive number and the square of 5 more than the number is 157. What is…

A: Solving the problem to find only the positive value.

Q: The sum of two numbers is 84, and one of them is 12 more than the other. Find the number?

A:

Q: The sum of two numbers is 4 and the difference of their squares is 64. Find the numbers.

A: Let the two numbers be x and y.Then, we have

Q: Two times the sum of a number and 3 is equal to thrice the number plus 4. Find the number.

A:

Q: The difference of two positive numbers is 12. The larger number is 5 more than twice the smaller…

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: The product of some negative number and 5 less than twice that number is 375. Find the number.

A: Firstly we make the equation according to the question and then we solve it for unknown value by…

Q: the sum of the digits of two digit number is twelve. if the units digit is thirteen less than four…

A: Let x be units digit  and y be the tens digits therefore x+y=12 also x=4y-13 solve both the…

Q: The sum of two numbers is 104. The larger number is one less than twice the smaller number. What are…

A: Given:- Sum of two numbers is 104.

Q: The product of two consecutive odd integers is 22 less than the square of the greater integer. Find…

A: Given information: The product of two consecutive odd integers is 22 less than the square of the…

Q: The sum of the squares of two positive numbers is 29 and the difference of the squares of the…

A: Suppose that the numbers are x and y. Then given that

Q: The larger of two numbers is five more than the smaller number.  If the sum of the numbers is 59,…

A: Let the larger number be 'x' and the smaller number be 'y' According to question,…

Q: The sum of the squares of two numbers is 24. The difference of the squares of the number is 8 . find…

A:

Q: he sum of four times a number and 8 is equal to the difference of twice the number and 2. What is…

A: Given Information: The sum of four times a number and 8 is equal to the difference of twice the…

Q: The sum of two numbers is 15. One of the numbers is twice the second number minus 9. What is the…

A:

Q: The sum of the squares of two positive numbers is 157. The difference of their squares is 85. Find…

A:

Q: The sum of the digits of a 2 digit number is 9. If the digits are reversed, the new number is 9 less…

A: Let the unit digit be x and tens digit be y.

Q: The sum of the digits of a number of three digits is 17, the hundreds digits is twice the units…

A:

Q: The sum of a positive number and twice its square is 11.88. What is the number.

A: Given, let us take a positive number be

Q: The sum of two numbers is eighty seven. The larger number is seventeen less than three times the…

A:

Q: The sum of the digits of a three-digit number is 8. If the ones and hundreds digits are…

A:

Q: the sum of two numbers is 15.  One of the numbers is twice the second number minus 9.

A: Given: The sum of the two number is 15 and one of the number is twice the second number minus 9. To…

Q: The sum of the ages of two children is 16 years. Four years ago, the age of the older child was…

A:

Q: The sum of 2 numbers is 14. If the difference of their squares is 56. What are the numbers?

A: Given,  Sum of 2 numbers = 14 difference of 2 numbers = 56 let x, y be 2 numbers

Q: The larger of two numbers is 10 less than twice the smaller number. If the sum of the two numbers is…

A: Given- The larger of two numbers is 10 less than twice the smaller number and the sum of the two…

Q: The sum of 1/5 and twice a number is equal to 4/5 subtracted from three times the number. Find the…

A: Given that the sum of 1/5 and twice a number is equal to 4/5 subtracted from three times the number.…

Q: The sum of three consecutive integers is 12 more than twice the largest integer. Set up and equation…

A: Let the 3 consecutive numbers be a, a+1,a+2 Their sum is a+a+1+a+2 Here 12 more than twice the…

Q: The square of a number minus seven times a number equals negative six. The equation is The solutions…

A: We solve the equation using factor method

Q: The sum of two numbers is 3788. The second number is 80 more than twice the first. What are the…

A: Let first number is x So second number will be 3788 - x

Q: Twice the difference of a number and 8 is equal to three times the sum of the number and 3. Find the…

A: A detailed solution is given in step 2.

Q: The sum of the squares of two negative numbers is 145 and the difference of the squares of the…

A: Given,The sum of the squares of two negative numbers is 145 and the difference of the squares of the…

Q: One number is 4 more than twice the other number. If the sum of the two numbers is 34, find the two…

A:

Q: The sum of the squares of two consecutive even numbers is 340 ,Find the numbers

A:

Q: The larger of two numbers is 12 more than the smaller number if the sum of two numbers is 74 find…

A: Given query is to find the unknown numbers.

Q: The average of two numbers is 2x. If one of the numbers is x + 3 , find the other number.

A: We know if average of two numbers = a, then total of these two numbers = 2a.

Q: If six is subtracted from three times a number , the difference is twice the number. What is the…

A: According to the given information3x - 6 = 2x

Q: The sum of the number and its square is twelve times the next higher number. Find the number.

A:

Q: The sum of three times a first number and twice a second number is 8. If the second number is…

A: Let first number be x and second number be y. Now, given that sum of three times a first number and…

Q: The sum of the squares of two negative numbers is 97 and the difference of their squares is 65. Find…

A: Let the two numbers be x and y (both negative) respectively.Then we have

Q: The square of a negative number is 18 more than 3 times the negative number. Find the number.

A:

Q: The sum of the digits of a two-digit number is 8. If the digits are reversed, the new number is 18…

A: Consider a two-digit number: N=10a+b……1 where a and b are digits, between 0 to 9, at ten's and one's…

Q: The sum of the square of a positive number and the square of 3 more than the number is 149. What is…

A: We have to find the positive number.

Q: Two times the sum of a number and 3 is equal to thrice the number plus Find the number

A:

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: Two times the sum of a number and 6 is equal to the thrice the number plus 4. Find the number.

A: Let x be the unknown number, "two times the sum of the number and 6" 2(x+6) "thrice the number plus…

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.