M4maths Previous Puzzles

15 Dec 2016 Digits

When you reverse the digits of the number 14 the number increases by 27. How many other two digit numbers increase by 27 when their digits are reversed?

OPtion

1) 1
2) 2
3) 3
4) 4
5) 5
6) 6
7) 7
8) 8
9) 0
10)None of these

Solution

10x + y - (10y + x ) = 27
=> 9x-9y = 27
=> x - y = 3
Following numbers satisfy the criteria of x-y=3
14, 25, 36, 47, 58, 69
So there are 4 other 2 digit numbers apart from 14 which increase by 27 when their digits are reversed

Option 5)

Correct Option: 5 Best Solution (0)