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Find the positive number which when decreased by 20 is equal to 2925 times the reciprocal of the number.1. 352. 653. 554. 45 |
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Answer» Correct Answer - Option 2 : 65 Concept used: The reciprocal of a number is 1 divided by the number. Calculation: Let the number be x Now, A/Q x – 20 = 2925/x ⇒ x2 – 20x – 2925 = 0 ⇒ x2 – 65x + 45x – 2925 = 0 ⇒ x(x – 65) + 45(x – 65) = 0 ⇒ (x + 45)(x – 65) = 0 ⇒ x = –45 and x = 65 ∴ The required positive number is 65 |
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