Question

Of the three numbers, the first is twice the second and the
second is twice the third. The average of the reciprocal of the
numbers is Find numbers?
​

Answer 1

Answer:

Let the third number be x  

Then Second number =2x and first number =4x

Sum of the reciprocals of these 3 numbers =  

4x

1

​  

+  

2x

1

​  

+  

x

1

​  

=  

4x

1+2+4

​  

=  

4x

7

​  

 

Given,  

4x

7

​  

=3×  

72

7

​  

 

⇒4x=24

⇒x=6  

Therefore, the three numbers are 4×6,2×6,6 i.e. 24,12,6.

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ᴵᵀᶻ꧁ DISHANT⁰⁰⁷ ࿐