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Question

GM and HM of two numbers are 10 and 8, respectively. The numbers are


A

5,20

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B

4,25

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C

2,50

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D

1,100

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Solution

The correct option is A

5,20


Explanation for the correct option:

Step 1. Let a,b be the two numbers:

Given,

GM=10

ab=10

ab=100 …(1)

HM=8

2ab(a+b)=8

Step 2. Substitute the value of ab

2×100(a+b)=8

a+b=2008

a+b=25 ….(2)

Step 3. By solving equation (1) and (2), we get

a=20,b=5

Hence, option(A) is correct.


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