Multiple choice

The respective ratio of ages of A and B is 4 : 3. Four years ago, the ratio was 10 : 7. Find the present ages (in years) of A and B.

  1. A = 36, B = 27

  2. A = 24, B = 18

  3. A = 20, B = 15

  4. A = 16, B = 12

  5. A = 40, B = 30
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let ages be 4x and 3x. (4x-4)/(3x-4) = 10/7. 28x - 28 = 30x - 40. 2x = 12, x = 6. Ages are 24 and 18.

AI explanation

Let the present ages of A and B be 4x and 3x. Four years ago, their ages were 4x minus 4 and 3x minus 4, so the equation (4x minus 4) divided by (3x minus 4) equals 10 sevenths holds true. Solving this gives 28x minus 28 equals 30x minus 40, making 2x equal to 12 and x equal to 6. Therefore, the present age of A is 24 and the present age of B is 18.

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