Multiple choice

7 years ago ratio of age of Anil and Seema was (11 : 5), 8 years hence this ratio becomes (7 : 4). After 10 years what will be sum of their ages?

  1. 112 year

  2. 114 years

  3. 118 years

  4. 124 years

  5. 121 years

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

Let Anil's age 7 years ago = 11x, Seema's age 7 years ago = 5x. After 15 years (7+8), ratio becomes 7:4. So: (11x+15)/(5x+15) = 7/4. Cross-multiplying: 4(11x+15) = 7(5x+15). 44x + 60 = 35x + 105. 9x = 45, x = 5. Present ages: Anil = 11x + 7 = 55 + 7 = 62, Seema = 5x + 7 = 25 + 7 = 32. After 10 years: Anil = 72, Seema = 42. Sum = 72 + 42 = 114 years.