Question

$\huge \tt \blue{question : - }$

$यदि \: \: \frac{a - x}{a} + \frac{2a - x}{2a} = \frac{3a - x}{3a} , \: तो \: x \: का \: मान \: कया \: है \: ?$
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Answer 1

Answer:

$x = \frac{6a}{7}$

Step-by-step explanation:

$\frac{a - x}{a} + \frac{ 2a - x}{2a} = \frac{3a - x}{ 3a}$

$\longrightarrow \: 1 - \frac{x}{a} + 1 - \frac{x}{2a} = 1 - \frac{x}{3a}$

$\longrightarrow \: \frac{x}{a} + \frac{x}{2a} - \frac{x}{3a} = 1 + 1 - 1$

$\longrightarrow \: \frac{6x + 3a - x}{6a} = 1$

$\longrightarrow \: 7a = 6a$

$∴ \: x = \frac{6a}{7} \: Ans.$