SOLUTION: Two numbers are in the ratio of 5:9 and their sum is 98. Find the numbers.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Two numbers are in the ratio of 5:9 and their sum is 98. Find the numbers.      Log On


   

Question 9385: Two numbers are in the ratio of 5:9 and their sum is 98. Find the numbers.
Found 2 solutions by rapaljer, Shin123:
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
x%2Fy+=+5%2F9 so x+=+%285y%29%2F9

x+y = 98
%285y%29%2F9+%2B+y+=+98

Multiply both sides of the equation by 9
5y+%2B+9y+=+98%2A9
14y = 882
y= 63

x=+%285y%29%2F9+
x+=+%285%2A63%29%2F9+
x=35

Check: Sum = 63+35 = 98

R^ at SCC



Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
5+9=14 98/14=7 7*5=35 7*9=63
Numbers: 35, 63