Question

The $H.C.F.$ and the $L.C.M.$ of two numbers are $50$ and $300$ respectively. If one of the number is $150,$ find the other one.

Answer 1

Step: Find the other number
Given: $H.C.F,=50$ and $L.C.M.=300$
One number $=150$
Let the other number be $x$
We know that,
Product of two numbers $=H.C.F.\times L.C.M.$
$\therefore x\times 150=50\times 300$
$x=\frac{50\times 300}{150}$
$=\frac{15000}{150}$
$=100$
Hence, the other number is $100.$