Advanced MathHardSum from a reciprocal sum and a product
Advanced Math practice question
If 1/x + 1/y = 7/12 and xy = 12, what is the value of x + y?
Answer: 7
1/x + 1/y = (x + y)/(xy). So (x + y)/12 = 7/12, giving x + y = 7. (The numbers are 3 and 4.)
Common wrong answers
- If you answered 12
- 12 is xy.
- If you answered 84
- 84 is 7 × 12, multiplying instead of matching numerators.
- If you answered 7/12
- 7/12 is the reciprocal sum, not x + y.
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