Multiple choice

P is 5 years older than Q. After seven years, the sum of their ages will be 2 times the sum of their present ages. Find the age of Q.

  1. 2 years

  2. 1.5 years

  3. 4.5 years

  4. Data inadequate

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

Let Q's age be x, P's age be x+5. After 7 years, P is x+12, Q is x+7. Sum = 2x+19. Present sum = 2x+5. Equation: 2x+19 = 2(2x+5) = 4x+10. 2x = 9, x = 4.5.

AI explanation

Let P's present age be Q + 5, making the sum of their present ages 2Q + 5. In seven years, the sum of their ages will be 2Q + 5 + 14, which simplifies to 2Q + 19. Since this future sum is twice their present sum, we write 2Q + 19 = 2(2Q + 5), which simplifies to 2Q + 19 = 4Q + 10. Solving this equation gives 2Q = 9, so Q is 4.5 years old.

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