AlgebraHardLarger of two numbers from two relations
Algebra practice question
The sum of two numbers is 40. Three times the smaller number minus the larger number is 8. What is the larger number?
Answer: 28
With s + l = 40 and 3s − l = 8, adding gives 4s = 48, so s = 12 and l = 28.
Common wrong answers
- If you answered 12
- 12 is the smaller number.
- If you answered 20
- 20 halves the sum.
- If you answered 32
- 32 uses 3s − l = 8 with s = 10.
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