AlgebraMediumAges now from a future sum
Algebra practice question
Ana is 4 years older than Ben. In 6 years, the sum of their ages will be 40. How old is Ben now?
Answer: 12
Let Ben's age be b, so Ana's is b + 4. In 6 years: (b + 4 + 6) + (b + 6) = 40 → 2b + 16 = 40 → b = 12.
Common wrong answers
- If you answered 14
- 14 comes from 2b + 12 = 40, adding the 6 years to only one person.
- If you answered 16
- 16 is Ana's age now, not Ben's.
- If you answered 18
- 18 is Ben's age in 6 years.
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