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.