1)

A number consists of 2 digits whose sum is 11. If 27 is added to the number , then the digits change their places. What is the number?


A) 47

B) 65

C) 83

D) 92

Answer:

Option A

Explanation:

Let the 10's digit be x.Then , unit's digit = (11-x)

So, number = 10x + (11-x) = 9x + 11

9x + 11 + 27 = 10(11-x) + x

9x + 38  = 110-9x 

x=4

Ten's digit = 4 and unit's digit  = 7

required number = 47