When you reverse the digits of the number 13, the number increases by 18

When you reverse the digits of the number 13, the number increases by 18. How many other two-digit numbers increase by 18 when their digits are reversed?

  1. 5
  2. 6
  3. 7
  4. 8

Answer

Let the two-digit number be ab.

When the digits are reveres (ba), the number is increased by 18.

(10a+b) - (10b+a) = 18

a - b = 2

All such numbers that have unit's digit greater than ten's digit by 2.

Numbers are (except 13) 24, 35, 46, 57, 68, 79. So. there are 6 other numbers.

The correct option is B.