Multiple choice

What will be the present age of Jack's sister, if the ratio of the present ages of Jack and his sister is 4 : 7 and 2 years ago the ratio of their age was 1 : 2, respectively?

  1. 14 years

  2. 15 years

  3. 16 years

  4. 17 years

  5. 18 years
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Jack's age be 4x and sister's be 7x. 2 years ago: (4x-2)/(7x-2) = 1/2. 8x - 4 = 7x - 2. x = 2. Sister's present age = 7x = 7 * 2 = 14.

AI explanation

Let the present ages of Jack and his sister be 4x and 7x; two years ago, the ratio of their ages was (4x - 2) / (7x - 2) = 1 / 2. Cross-multiplying gives 8x - 4 = 7x - 2, which means x = 2. The sister's present age is 7 * 2 = 14. The result is 14 years.

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