Multiple choice

What is the difference between the ages of Preeti and Veeru after 5 years? I. The ratio between their present ages is 4 : 7. II. After 6 years, Veeru's age will be 1.5 times the Preeti's age. III. 5 years ago, the ratio of their ages was 7 : 16.

  1. Any two

  2. I and III

  3. II and III

  4. All three together are sufficient

  5. All three together are not sufficient
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

From I: P:V = 4:7, so P=4x, V=7x. From II: (V+6) = 1.5(P+6), so 7x+6 = 1.5(4x+6) = 6x+9, giving x=3. So P=12, V=21, difference=9. From III: (P-5):(V-5) = 7:16. With P=4x, V=7x: (4x-5):(7x-5) = 7:16 gives 16(4x-5)=7(7x-5), so 64x-80=49x-35, giving 15x=45 or x=3. So P=12, V=21, same answer. Checking I+III: 4x-5:7x-5=7:16 gives x=3, which works. Any two statements are sufficient.

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