Multiple choice

Shashidhar said to his younger brother Giridhar When I was half as old as you are today, you were one-fourth as old as I am now. If Giridhar is 10 years younger than Shashidhar, what is the sum of their present ages (in years)?

  1. 84

  2. 96

  3. 104

  4. 110

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let S and G be their ages. From the problem: (S-x)/2 = G-x and G-x = (S-x)/4, where x is the time elapsed. Solving the system with G = S-10 leads to S=70 and G=60, but the conditions imply a specific age relationship. Using the age difference constant, the ages are 60 and 50, summing to 110.