Question

The HCF of two number is 5 and their LCM is 210 if one of the two number is 30 find the other number.

Answer 1

Explanation:

Given :

• H. C. F. of two numbers is 5
• L. C. M. of the two numbers is 210
• One of the number is 30.

To find :

• The other number.

Solution :

Lets assume the other number is x

We know that,

Product of two numbers :

(L. C. M. of both numbers) × (H. C. F. of both numbers)

⟹ 30 × x = 210 × 5

⟹ 30x = 210*5

⟹ x = 210*5/30

⟹ x = 35

Hence,

The other number is 35 ans.

Answer 2

HCF × LCM = a × b

5 × 210 = 30 × b

1050 = 30 × b

$b = \frac{1050}{30}$

$b = 35$