Question

Two numbers are in the ratio $3:4$. If their LCM is $180$, find the numbers.

Answer 1

Let the two numbers be $3x$ and $4x$ and HCF be $x$

We know that

Product of two number=Product of their LCM and HCF

So,

$4x\times 3x=180\times x$

$12x^2=180x$

$12x=180$

$x=15$

$3x=3\times 15=45$

$4x=4\times 15=60$

Therefore the numbers are $45$ and $60$.