uptetd16p1 q116
- Option : C
- Explanation : (C) Sum of two numbers = 36
Let the two number be x and (36 - x)
We know that,
(x)(36 - x) = HCF × LCM of two numbers
⇒ x(36 - x) = 3 × 105
⇒ 36x - x2 = 315
⇒ x2 - 36x + 315 = 0
⇒ x2 - 21x - 15x + 315 = 0
x(x - 21)-15(x - 21) = 0
⇒(x - 15)(x - 21) = 0
⇒x = 15, 21
Two numbers are 15 and 21.
Sum of reciprocals
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