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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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