Question

If HCF of two numbers is 8 and their product is 5632, then find the sum of the two numbers. (Both the numbers are smaller than the LCM of two numbers.) 
1. 168
2. 132
3. 144
4. 152

Answer 1

Correct Answer - Option 4 : 152

GIVEN:

HCF of two numbers = 8

Their product = 5632

CALCULATION:

Since HCF of two numbers is 8.

Let numbers are ‘8a’ and ‘8b’ respectively. (‘a’ and ‘b’ are co-prime.)

Product of number = 8a × 8b = 5632

ab = 88

Possible values of ‘a’ and ‘b’ is 11 and 8 in any order.

Value of A = 8a = 88

Value of B = 8b = 64

Required sum = 88 + 64

= 152