Question

A three digit number is 297 more than its reversed number. How many such numbers are possible?

• A. 60
• B. 27
• C. 6
• D. 36

Answer 1

The correct option is A

60

(100a + 10b + c) - (100c + 10b + a) = 297

Thus, 99(a - c) = 297 ⇒ a - c = 3
From 1 to 9, there are 6 pairs which have the difference of 3.

For each such pair, 10 three digit numbers can be formed.

Hence, 60 such three digit numbers exist