Find the value of x from the following expression.$\frac{x}{10} + \frac{x+1}{17} + \frac{x+2}{26} = 10$

Given :

The given equation is  $\frac{x}{10} +\frac{x+1}{17} +\frac{x+2}{26} =10$

To find :

We have to find the value of x.

Solution :

LCM of 10,17 and 26 is,

$10 = 2\times 5$

$17=1\times 17$

$26=2\times 13$

LCM of 10,17 and 26 $= 2\times 5\times 17\times 13=2210$

$\frac{221( x) +130( x+1) +85( x+2)}{2210} =10$

$221x+130x+130+85x+170=22100$

$436x=22100-300$

$436x=21800$

$x = \frac{21800}{436}$

$x=50$

The value of x is 50.

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Updated on: 10-Oct-2022

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