Multiple choice

A says, “If you reverse my own age, the figures represent my father‘s age. He is, of course, senior to me and the difference between our ages is three-eleventh of our sum.” Then A‘s father’s age is-

  1. 54

  2. 45

  3. 63

  4. 36

  5. Can’t be determined
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A's age be 10a + b. Father's age is 10b + a (digits reversed). Difference = 9(b - a). Sum = 11(a + b). Given difference = 3/11 of sum, so 9(b - a) = 3(a + b). This gives b = 2a. Testing options: for 36 (a=3, b=6), father would be 63. 63 - 36 = 27, and 3/11 of (63+36) = 3/11 × 99 = 27. ✓

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