Question

The HCF of the two numbers is 29, and their sum is 174. What are the numbers?

• A. 29 and 145
• B. 25 and 111
• C. 30 and 150
• D. 15 and 22

Answer 1

The correct option is A 29 and 145

Let the two numbers be 29x and 29y.
Given: $29x+29y=174$
$29(x+y)=174$
$x+y=174/29=6$
Since x and y are o-primes, the possible combinations would be (1,5), (2,4) and (3,3).
For (1,5), 29x = 29(1) and 29y = 29(5) = 145
Therefore, the required numbers are 29 and 145