Question

Solve
x/3 + x/4 + x/5 = 1​

Answer 1

Question :

$\tt{ \frac{x}{3} + \frac{x}{4} + \frac{x}{5} = 1 }$

What to do ?

We need to find that x

How to do ?

As in the question we need to find x so for that we will take the LCM of them then after then we will add it and apply Linear equation. we will able to find the answer of x .

Solution :

$\tt{ \frac{x}{3} + \frac{x}{4} + \frac{x}{5} = 1 }$

( Now taking LCM of 3 ,4 and 5 = 60 )

$\tt{ \frac{20x + 15x + 12x}{60} = 1}$

$\tt{ \frac{47x}{60} = 1 }$

$\tt{ {47x}= 60 \times 1 }$

$\tt{ {x}= \frac{60}{47} }$

$\boxed{ \tt{x = \frac{60}{47} }}$

Answer 2

$\Huge \fbox{{\color{magenta}{\textsf {\textbf {Solution :-}}}}}$

$\longmapsto \sf \frac{x}{3} + \frac{x}{4} + \frac{x}{5} = 1$

LCM of 3 , 4 , 5 = 60

$\\\longmapsto \sf \frac{20x + 15x + 12x}{60} = 1 \\ \\ \longmapsto \sf 20x + 15x + 12x =60 \\ \\ \longmapsto \sf 47x =60 \\ \\\longmapsto \boxed{\sf \purple{ x = \frac{60}{47} }}$