SOLUTION: Two positive numbers are in the ratio 3:4. Find the numbers if (a) their sum is 84 and (b) their product is 432

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Two positive numbers are in the ratio 3:4. Find the numbers if (a) their sum is 84 and (b) their product is 432      Log On


   

Question 878973: Two positive numbers are in the ratio 3:4. Find the numbers if (a) their sum is 84 and (b) their product is 432
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
x/y=3/4 and x+y=84 and xy=432.
x=3y/4.
3y%2F4%2By=84 and %283y%2Fx%29y=432;
3y%2F4%2B4y%2F4=84 and 3y%5E2=432x;
7y%2F4=84
7y=84%2A4
y=12%2A4
highlight%28y=48%29 and 3%2A48%5E2=432x;
x=%281%2F432%293%2A48%5E2
highlight%28x=16%29