Aptitude | Arithmetic Aptitude 5 | Question 2

A two-digit number is such that the product of the digits is 12. When 9 is subtracted from the number, the digits are reversed. The number is:
(A) 34
(B) 62
(C) 43
(D) 26


Answer: (C)

Explanation: Let the tens digit of the number be a and ones digit be b.

Given:
ab = 12 ................(i) and,
(10a + b) - (10b + a) = 9
10a + b - 10b - a = 9
9a - 9b = 9
9(a-b) = 9
(a-b) = 1 .................(ii)

Factors of 12 = 1, 2, 3, 4, 6, 12.
and from equation (ii), (a – b) = 1
So, a = 4 & b = 3.
Required number = ab = 43.


Quiz of this Question



My Personal Notes arrow_drop_up