The sum of the digits of a two-digit number is 10. If 18 is subtracted from it, the digits in the resulting number will be equal. The number is:

64

sum of the digits of a two-digit number is 10

let the number be 10x+y

x+y = 10

⇒ y = 10-x

Also, 10x+y - 18 = 10y+x

10x + 10 - x - 18 = 10(10-x)+x

9x-8 = 100-9x

18x = 108

x = 6

y = 4

The number is 10*6 + 4 = 64

The correct answer is Option (4) → 64