When you reverse the digits of the number 14 the number increases by 27. What is the sum of all such

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14 May 2020 Digits

When you reverse the digits of the number 14 the number increases by 27. What is the sum of all such two digit numbers which increase by 27 when their digits are reversed?

OPtion

1) 202
2) 220
3) 205
4) 200
5) 201
6) 203
7) 199
8) 198
9) 196
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
Their Sum = 14 +25 + 36 + 58 + 69 =249

Correct Option: 10 Best Solution (0)