A is 14 years old and B was thrice as old as A before 10 years. When A is 20…

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A is 14 years old and B was thrice as old as A before 10 years. When A is 20 years, how old will B be ?

  1. A.

    22

  2. B.

    30

  3. C.

    24

  4. D.

    28

Attempted by 18 students.

Show answer & explanation

Correct answer: D

Answer: 28

  • Ten years ago, A = 14 − 10 = 4 years.

  • At that time B was thrice A, so B = 3 × 4 = 12 years (ten years ago).

  • B's present age = 12 + 10 = 22 years.

  • When A is 20, that's 20 − 14 = 6 years from now, so B's age then = 22 + 6 = 28 years.

Therefore the correct answer is 28.

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