The sum and product of two integers are 26 and 165 respectively. The difference between these two integers is

Q. The sum and product of two integers are 26 and 165 respectively. The difference between these two integers is

(A) 2

(B) 3

(C) 4

(D) 6

Ans: 4

Solution:

From prime factorisation of
165 = 3 × 5 × 11
165 = 15 × 11
So t he t wo number s whose sum i s 26 and multiplication is 165 is 15 and 11
Now, difference = 15 – 11 = 4