SOLUTION: The ratio of two numbers is 9 to 5 the sum is 42

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Question 933389: The ratio of two numbers is 9 to 5 the sum is 42

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let numbers be x and y
if the ratio of two numbers is 9 to 5, then we have
x%2Fy=9%2F5....eq.1
if the sum is 42, then we have
x%2By=42...eq.2
solve the system:
x%2Fy=9%2F5....eq.1
x%2By=42...eq.2
___________________
x%2Fy=9%2F5....eq.1 ...sole for x
x=%289%2F5%29y....substitute it in eq.2

%289%2F5%29y%2By=42...eq.2...sole for y
5%289%2F5%29y%2B5y=5%2A42
9y%2B5y=210
14y=210
y=210%2F14
highlight%28y=15%29
now find x
x=%289%2F5%29y
x=%289%2F5%2915
x=9%2A3
highlight%28x=27%29
so, your numbers are: highlight%2827%29 and highlight%2815%29