SOLUTION: Two numbers differ by 15. Twice the smaller number plus triple the larger number is equal to 105. What are the numbers?

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Question 1004181: Two numbers differ by 15. Twice the smaller number plus triple the larger number is equal to 105. What are the numbers?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let numbers be x and y=>the larger number is x
if two numbers differ by 15, we have
x-y=15
x=y%2B15.......eq.1
if twice the smaller number plus triple the larger number is equal to 105, we have:
3x%2B2y=105....eq.2....substitute x from eq.1
3%28y%2B15%29%2B2y=105
3y%2B45%2B2y=105
5y=105-45
5y=60
y=60%2F5
highlight%28y=12%29
now find x
x=y%2B15.......eq.1
x=12%2B15
highlight%28x=27%29