SOLUTION: Three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21. Find the numbers.

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Question 430525: Three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21. Find the numbers.
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let X and Y be our numbers. Then:
3X=4Y and X+Y=21.
3X+3Y=63
We substitute for 3X:
4Y+3Y=63
7Y=63
Y=9
X=21-Y=21-9=12.