Multiple choice

At present, the sum of ages of 4 people is 76. After 7 years, the ratio of their ages will be 7:6:5:8. Find out the present age of C?

  1. 11

  2. 12

  3. 13

  4. 18

  5. 9

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C Correct answer
Explanation

Let present ages be a, b, c, d. Then a + b + c + d = 76. After 7 years: (a+7) : (b+7) : (c+7) : (d+7) = 7 : 6 : 5 : 8. Let these be 7k, 6k, 5k, 8k. Total = 26k = 76 + 28 = 104, so k = 4. Present ages: 7(4)-7=21, 6(4)-7=17, 5(4)-7=13, 8(4)-7=25. C's present age is 13 years.