Question

The HCF, LCM, and one of the numbers is given. Find the other number in each of the following.
HCF $=50$,LCM $=100$, First number $=50$

Answer 1

HCF and LCM of two numbers:

It is given that

HCF $=50$,LCM $=100$, First number $=50$

We know that HCF$\times$LCM $=$Product of the two numbers

$\Rightarrow$ $50\times 100$ $=$$50\times$Second number

$\Rightarrow$ Second number $=100$

Hence, the second number$=\frac{50\times 100}{50}=100$