Multiple choice

Six times the present age of Jack is equal to the five times the present age of Jones. After 10 years, the sum of their age will be three times the present age of Jack. Find the present age of Jones.

  1. 35 years

  2. 30 years

  3. 25 years

  4. 20 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Jack's age = J and Jones' age = O. 6J = 5O, so O = 6J/5. After 10 years: (J+10) + (O+10) = 3J. Substituting O: J + 10 + 6J/5 + 10 = 3J. Multiplying by 5: 5J + 50 + 6J + 50 = 15J, so 11J + 100 = 15J, giving 4J = 100 and J = 25. Therefore O = 6 × 25/5 = 30 years.

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