AlgebraMediumAge from a sum of multiples
Algebra practice question
Ren is 4 years older than Sol. Twice Ren's age plus three times Sol's age equals 23. How old is Sol?
Answer: 3
r = s + 4 and 2r + 3s = 23 give 2s + 8 + 3s = 23, so 5s = 15 and s = 3.
Common wrong answers
- If you answered 5
- 5 comes from 5s = 23 − (−2), a sign error with the 8.
- If you answered 7
- 7 is Ren's age.
- If you answered 4.6
- 4.6 divides 23 by 5, ignoring the 8.
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