Question
The product of two positive values is 81 times the
product of the first value and the reciprocal of the second value. A third value is 50% more than the second one. If the product of the first and third value is 108, then what is the first value?Solution
ATQ,
Let the first, second and third value be x, y and z, respectively. According to the question: x × y = 81 × x × (1/y) ⇒ y² = 81 ⇒ y = 9 z = 1.5 × 9 = 13.5 Also, x × z = 108 ⇒ x = 108 ÷ 13.5 = 8
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