Multiple choice

The ratio between the age of A and B is 3: 5 and if the age of one person is 14 years more than the other. Then 7 years ago, the sum of their ages was

  1. 32 years

  2. 42 years

  3. 38 years

  4. 48 years

  5. 56 years

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let current ages be 3x and 5x. Their difference is 2x = 14 years, so x = 7. Current ages: A = 21 years, B = 35 years. Seven years ago: A was 14 years, B was 28 years. Sum = 14 + 28 = 42 years. The distractor 48 years would come from incorrectly calculating 7 years ago from only one person's age.