Multiple choice

At present, Pia is 6 years older than Ray. The respective ratio between the present ages of Pia and Mini is 3 : 4. At present, Ray is 14 years younger than Mini. What is Ray's present age?

  1. 16 years

  2. 20 years

  3. 14 years

  4. 18 years

  5. 24 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let R be Ray's age, P be Pia's age, and M be Mini's age. We have P = R + 6, P/M = 3/4, and R = M - 14. Substituting M = R + 14 into the ratio gives (R + 6)/(R + 14) = 3/4. Solving 4(R + 6) = 3(R + 14) yields 4R + 24 = 3R + 42, so R = 18.

AI explanation

Let Pia's and Mini's present ages be 3x and 4x respectively. Since Ray is 14 years younger than Mini, Ray's present age is 4x - 14. Pia is 6 years older than Ray, giving the equation 3x = (4x - 14) + 6, which simplifies to 3x = 4x - 8, so x = 8. Ray's present age is 4(8) - 14 = 32 - 14 = 18 years.

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