Multiple choice

The present age of A, B, C and D is 76. After 7 years the ratio is 7 : 6 : 5 : 8. Find the Present age of C?

  1. 13

  2. 22

  3. 20

  4. 18

  5. 24

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A Correct answer
Explanation

Present ages: A+B+C+D=76. After 7 years, ratio is 7:6:5:8. Let common ratio be x. After 7 years: A=7x, B=6x, C=5x, D=8x. Sum: 7x+6x+5x+8x=26x. But 26x = (76+28) = 104 (since 4×7=28 years added). So x=4. After 7 years, C=5×4=20. Present age of C=20-7=13.