SOLUTION: the difference between two numbers is 5, one number is 2/3 of the other number. How do I work out these type of problems

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Question 690160: the difference between two numbers is 5, one number is 2/3 of the other number.
How do I work out these type of problems
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Establish the variables
x is the larger number
y is the smaller number
...
x-y = 5 ==> difference between is 5
y = 2%2F3(x)==> 2%2F3 of other number, since y is the smaller it will be a fraction of the other number.
...
Substitution
x - %282%2F3%29x = 5
Multiply the entire equation by 3 to remove the fraction
3x - 2x = 15
x = 15
...
x - y = 5, so
15 - y = 5
15 - 5 = y
y = 10
...
highlight_green%28x=15%29 and highlight_green%28y=10%29
The two numbers are 15 and 10
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