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In a two-digit number the sum of the digits is 11. When 27 is added to the number, its digits are reversed. What is the number?

Competition practiceNumber System, HCF & LCM

A74
B56
C38
D47

Step-by-Step Solution

Let the number be

10 a + b

with

a + b = 11

. Then

10 a + b + 27 = 10 b + a

gives

a - b = - 3

, so

a = 4, b = 7

and the number is 47.

Answer: D) 47

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