SOLUTION: two numbers are in the ratio 3 : 4 .if their LCM Is 180 , find the numbers.

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Question 466947: two numbers are in the ratio 3 : 4 .if their LCM Is 180 , find the numbers.
Found 3 solutions by Big Poop, robertb, Gogonati:
Answer by Big Poop(157) About Me  (Show Source):
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let x%2Fy+=+3%2F4. ==> 2%5E2x+=+3y
Now the LCM is 90+=+2%5E2%2A3%5E2%2A5.
Since 2%5E2%283%5E2%2A5%29+=+3%282%5E2%2A3%2A5%29, it follows that x+=+3%5E2%2A5+=+45, and y+=+2%5E2%2A3%2A5+=+60, by direct comparison.

Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Let the unknown numbers be x and y, then they ratio will be x%2Fy=3%2F4, base
on the ratio properties we can convert this ratio in the form:
4x=3y<=>x%2F3=y%2F4<=>60x%2F180=45y%2F180.The final ratio is satisfied
for x=45 and y=60.