Question

CLUES

• I'm a 2-digit even number.
• The sum of my digits is 11.
• If you reverse my digits I
would be 27 less than I am.
Who am I?

Answer 1

74

Explanation:

a + b = 11

ab - ba = 27

10a + b - 10b - a = 27

10a - a + b - 10b = 27

9a - 9b = 27

9(a - b) = 27

a - b = 27 : 9

a - b = 3

a + b = 11

a - b = 3

_______ +

a + b + a - b = 11 + 3

2a = 14

a = 7

a + b = 11 => 7 + b = 11 => b = 11 - 7 => b = 4

ab = 74

Answer 2

The number is 74.
- It’s a two digit even number.
- 7 + 4 = 11
- 74 reversed is 47. 74 - 47 = 27.