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If  a2=b3=c5\frac{a}{2}=\frac{b}{3}=\frac{c}{5}2a​=3b​=5c​​ then find (a+b+c)c\frac{(a+b+c)}{c}c(a+b+c)​​​
Question

If  a2=b3=c5\frac{a}{2}=\frac{b}{3}=\frac{c}{5}​ then find (a+b+c)c\frac{(a+b+c)}{c}​​

A.

10

B.

12

C.

5

D.

2

Correct option is D

Given:

a2=b3=c5\frac{a}{2}=\frac{b}{3}=\frac{c}{5}

Solution:

Let a = 2x , b = 3x, c = 5x 

Then the value of (a+b+c)c\frac{(a+b+c)}{c}  = (2x+3x+5x)5x=10x5x=2\frac{(2x +3x +5x )}{5x} = \frac{10x}{5x} =2​​

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