Question

If the LCM of two numbers is 250 and their HCF is 10 and one of the two numbers is 25, find out the other number.

• A. 200
• B. 150
• C. 125
• D. 100

Answer 1

The correct option is D

100

Let the two numbers be 'a' and 'b'.
Then, using the formula of LCM as,

LCM = $\frac{a\times b}{HCF(a,b)}$

Given, LCM = 250, a = 25, HCF = 10, b = ?

Putting the values in the above equation, we get

250 = $\frac{25\times b}{10}$

b = $\frac{250\times 10}{25}$

i.e. b = 100