Multiple choice

4 years hence, the ratio of ages A and B will be 5 : 7 and 6 years hence, the ratio of ages will be 11 : 15, then find their present ages.

  1. 20 years, 26 years

  2. 16 years, 24 years

  3. 12 years, 28 years

  4. 12 years, 18 years

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let present ages be A and B. From the given ratios: (A+4)/(B+4)=5/7 gives 7A-5B=-8, and (A+6)/(B+6)=11/15 gives 15A-11B=-24. Solving these simultaneous equations yields A=16 years and B=24 years. Option A (20,26) would give ratios 6:8=3:4 after 4 years, not 5:7.

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