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A positive number which when increased by 17 is equal to 84 times the reciprocal of the number. The number is:1. 42. 53. 64. 3 |
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Answer» Correct Answer - Option 1 : 4 Given: A positive number which when increased by 17 is equal to 84 times the reciprocal of the number calculation: Let the positive number be x Reciprocal of a positive number = 1/x x + 17 = 84 × 1/x ⇒ x (x + 17) = 84 ⇒ x2 + 17x = 84 ⇒ x2 + 17x - 84 = 0 ⇒ x2 + 21x - 4x - 84 = 0 ⇒ x(x + 21) - 4( x + 21) = 0 ⇒ (x + 4)(x - 21) = 0 ⇒ x = 4, -21 The value of x is positive, So x = 4 ∴ The required value is 4 |
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