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Question

Two numbers are in the ratio 4:7. If their L.C.M is 168, find the numbers.​

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Solution

Let the two numbers be 4x and 7x.
Now, LCM of4x and 7x=4x×7x=28x
Also,
28x=168 [Given]
x=16828=6
Therefore,
4x=4×6=24 and
7x=7×6=42
Hence, the two numbers are 24 and 42.

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