Question

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

Answer 1

Let the two numbers be $4x$ and $7x$.
Now, LCM of$4x$ and $7x=4x\times 7x=28x$
Also,
$28x=168$ [Given]
$x=\frac{168}{28}=6$
Therefore,
$4x=4\times 6=24$ and
$7x=7\times 6=42$
Hence, the two numbers are $24$ and $42$.