Multiple choice

The sum of the ages of husband and his wife is 88 years. 8 years hence, the ratio of their ages will be 7:6. Find the husbands present age?

  1. 48

  2. 46

  3. 50

  4. 52

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

Let H and W be current ages. H + W = 88. In 8 years, (H+8)/(W+8) = 7/6. So 6H + 48 = 7W + 56, or 6H - 7W = 8. Substituting W = 88 - H: 6H - 7(88 - H) = 8 => 6H - 616 + 7H = 8 => 13H = 624 => H = 48.