Multiple choice

The ratio of the present ages of Meena and Fiona is 16 : 13 respectively. Four years ago the respective ratio of their ages was 14 : 11. What will be Fiona's age four years from now?

  1. 28 years

  2. 32 years

  3. 26 years

  4. 30 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Meena's age be 16x and Fiona's be 13x. Four years ago: (16x-4)/(13x-4) = 14/11. 11(16x-4) = 14(13x-4) => 176x - 44 = 182x - 56 => 6x = 12 => x = 2. Fiona's present age = 13 * 2 = 26. Four years from now, she will be 26 + 4 = 30.

AI explanation

Let the present ages of Meena and Fiona be 16x and 13x. Four years ago, their ages were 16x - 4 and 13x - 4, giving the equation (16x - 4) / (13x - 4) = 14 / 11. Solving this equation gives 176x - 44 = 182x - 56, which simplifies to 6x = 12 and x = 2. Fiona's present age is 13x = 26, so her age four years from now will be 26 + 4 = 30 years.

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