SOLUTION: How would you solve this? The sum of two numbers is 42. Three times the frist number is the same as four times the other number. Find the numbers.

Algebra.Com
Question 775118: How would you solve this?
The sum of two numbers is 42. Three times the frist number is the same as four times the other number. Find the numbers.

Answer by sofiyac(983)   (Show Source): You can put this solution on YOUR website!
let first number be x and second one y
x+y=42
3x=4y
solve the system of equations
x=42-y
3(42-y)=4y
126-3y=4y add 3y to each side
126=7y divide each side by 7
18=y
so if y is 18 then x=42-y so x=42-18=24

RELATED QUESTIONS

the sum of two numbers is 42. three times the first number is the same as four times the... (answered by tommyt3rd)
The sum of three numbers is 120. The second number is 4 more than the frist. The third... (answered by rfer)
how do you solve : the greater of two numbers is twice the lesser number. three times the (answered by solver91311)
Find three consecutive odd numbers such that four times the first number decreased by 28... (answered by mananth)
3.) Find three consecutive odd numbers such that four times the first number decreased by (answered by ewatrrr)
The sum of two numbers is 42. One number is 2 times as large as the other. What are the... (answered by mananth)
The sum of two numbers is 42. One number is 5 times the other. Find the numbers (answered by faceoff57)
The sum of 2 numbers is 33. Three times one number is six less than four times the other. (answered by nyc_function)
The sum of two numbers is 42. One number plus 2 times the other number is 57. What are... (answered by checkley75)