relation between hcf lcm and sum of two numbers - Wikitechy https://www.wikitechy.com/interview-questions/tag/relation-between-hcf-lcm-and-sum-of-two-numbers/ Interview Questions Mon, 20 Sep 2021 04:42:53 +0000 en-US hourly 1 https://wordpress.org/?v=6.9 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png relation between hcf lcm and sum of two numbers - Wikitechy https://www.wikitechy.com/interview-questions/tag/relation-between-hcf-lcm-and-sum-of-two-numbers/ 32 32 If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to ? https://www.wikitechy.com/interview-questions/lcm-and-hcf/if-the-sum-of-two-numbers-is-55-and-the-hcf-and-lcm-of-these-numbers-are-5-and-120-respectively-then-the-sum-of-the-reciprocals-of-the-numbers-is-equal-to/ https://www.wikitechy.com/interview-questions/lcm-and-hcf/if-the-sum-of-two-numbers-is-55-and-the-hcf-and-lcm-of-these-numbers-are-5-and-120-respectively-then-the-sum-of-the-reciprocals-of-the-numbers-is-equal-to/#respond Tue, 17 Aug 2021 17:36:14 +0000 https://www.wikitechy.com/interview-questions/?p=1838

If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to ?

A. 11/120

B. 55/501

C. 11/60

D. 12/55

Answer : A. 11/120

Explanation:

Let the numbers be a and b.
Thus a + b = 55 and ab = 5 x 120 = 600
Thus 1/a + 1/b
= (b + a)/(ab)
= 55/600
= 11/120

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