Question

A two digit number becomes five – sixth of itself when its digits are reversed. The number is

• A. 45
• B. 56
• C. 65
• D. 54
• E. 87

Answer 1

The correct option is D

54

Let the number be 10a+b.

a + 10b = $\frac{5}{6}$ (10a + 5b)

$⟹$6a + 60b = 50a + 5b

$⟹$44a = 55b

$⟹$4a = 5b

Since, both a and b are digits, the only possible values for a and b are 5 and 4.

$\therefore$The number is 54.