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The sum of the digits of a two digit number is 10. The number formed by reversing the digits is 18 less than the original number. Find the original number.
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- 81
- 46
- 64
- 60
Correct Option: C
Let the two digit number be 10x + y where x > y.
Here, x + y = 10 ...(i)
and, 10x + y – 10y – x = 18
⇒ 9x – 9y = 18
⇒ 9 (x – y) = 18
⇒ x – y = 2 ...(ii)
Solving equations (i) and (ii),
x = 6 and y = 4
∴ Number = 10 × 6 + 4 = 64
