SOLUTION: If two numbers are in the ratio 3:5 and their LCM is 120 , find the numbers.

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Question 992117: If two numbers are in the ratio 3:5 and their LCM is 120 , find the numbers.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
let numbers be x and y
the LCM is 120+=+2%5E3%2A3%2A5=8%2A15
if two numbers are in the ratio 3%3A5+, then x%2Fy=3%2F5
=>5x%2F15=3y%2F15=>%285x%2A8%29%2F%2815%2A8%29=%283y%2A8%29%2F%2815%2A8%29
=>40x%2F120=24y%2F120
so, two numbers are 40 and 24
check the ratios:
24%2F40=3%2F5
0.6=0.6