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The sum of a number and its reciprocal is 26/5. Find the number.
Original Khojo Papers practice question — not from a past board paper.
Answer
The number is 5 or 1/5.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
If the number is x then x + 1/x = 26/5. Multiplying by 5x gives 5x2 − 26x + 5 = 0, that is (5x − 1)(x − 5) = 0, so x = 1/5 or 5.
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