SOLUTION: one number is two-thirds of another. their sum is 60? what are the two numbers?

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Question 483085: one number is two-thirds of another. their sum is 60? what are the two numbers?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let one number be x and another y
given:
x=%282%2F3%29y....1
x%2By=60......2
------------------------solve this system

x%2By=60......2...replace x with %282%2F3%29y from equation 1

%282%2F3%29y%2By=60....both sides multiply by 3

3%282%2F3%29y%2B3y=60%2A3

cross%283%29%282%2Fcross%283%29%29y%2B3y=180

2y%2B3y=180

5y=180

y=180%2F5

highlight%28y=36%29
now find x

x=%282%2F3%29y....1...plug in y value

x=%282%2F3%2936

x=%282%2Fcross%283%29%29cross%2836%2912

x=2%2A12

highlight%28x=24%29

check:
x%2By=60......2.

24%2B36=60

60=60