DRDO Multi tasking staff Model paper 10

GIVEN:
Sum of two numbers = 444
HCF = 37
CALCULATION:
HCF of two numbers = 37
Hence, numbers are multiples of 37.
Let the numbers be 37a and 37b, where ‘a’ and ‘b’ are prime numbers to each other.
According to the question
∴ 37a + 37b = 444
(a + b) = 12
∴ Required possible pairs of values of ‘a’ and ‘b’ are prime to each other are (1, 11) and (5, 7).