Question

The square of one number is $25$. If the HCF and LCM of the two numbers are $5$ and $35$ find another number.

Answer 1

LCM and HCF:

Square of one number $=25$

The number is $5$.

H.C.F. × L.C.M. = First number × Second number

Let the second number be $x$.

$$\begin{gathered} 5\times 35=5\times x \\ \Rightarrow x=\frac{175}{5} \\ \Rightarrow x=35 \end{gathered}$$

Hence, the second number is $35$.