Aptitude - Problems on H.C.F and L.C.M - Discussion

Discussion Forum : Problems on H.C.F and L.C.M - General Questions (Q.No. 30)
30.
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:
55
601
601
55
11
120
120
11
Answer: Option
Explanation:

Let the numbers be a and b.

Then, a + b = 55 and ab = 5 x 120 = 600.

The required sum = 1 + 1 = a + b = 55 = 11
a b ab 600 120

Discussion:
37 comments Page 4 of 4.

Ankur said:   9 years ago
Guys! LCM * HFC = PRODUCT OF TWO NUMBERS. This is the rule.
(1)

Sonu said:   9 years ago
How can we solve this? Let me know the method of solution.

Maha said:   4 years ago
@Balamurugan.

By Cross multiply, you well get this.

Raj said:   1 decade ago
How to find those two numbers?

Balamurugan said:   4 years ago
1/a+1/b=a+b/ab. How is come??

Abhishek said:   10 years ago
Thanks it helped me a lot.

Amol said:   1 decade ago
Why 1/a + 1/b ?


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