Question

The highest common factor of two numbers is 77 and the sum is 154. How many such pairs are possible?
1. 3
2. 2
3. 4
4. 1

Answer 1

Correct Answer - Option 4 : 1

Given:

HCF of two numbers = 77

Sum of the two numbers = 154

Calculation: 

Let the numbers be x and y

77x + 77y = 154 

x + y = 2 

Possible pairs of x and y = (1, 1) and (2, 0)

(2, 0) will not satisfy the given condition, hence x and y are 1

The numbers will be 77 and 77.

∴ There is only one pair possible which satisfies the given condition.