SOLUTION: three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21 (12+9). Find the numbers.

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Question 158230: three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21 (12+9). Find the numbers.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=21 OR X=21-Y
3Y=4X
3Y=4(21-Y)
3Y=84-4Y
3Y+4Y=84
7Y=84
Y=84/7
Y=12 THE LARGER NUMBER.
X+12=21
X=21-12
X=9 THE SMALLER NUMBER.
PROOF:
3*12=4*9
36=36