Question

Solve the following x/2 - 1/5 = x/3 + 1/4​

Answer 1

Answer:

Question :-

Solve the following x/2 - 1/5 = x/3 + 1/4

Required Answer :-

54

Solution :-

$\frac{x}{2} - \frac{1}{5} = \frac{x}{3} + \frac{1}{4}$

$\frac{x \times 5}{2 \times 5} - \frac{1 \times 2}{5 \times 2} = \frac{x \times 4}{3 \times 4} + \frac{1 \times 3}{4 \times 3}$

$\frac{5x}{10} - \frac{2}{10} = \frac{4x}{12} + \frac{3}{12}$

$\frac{5x - 2}{10} = \frac{4x + 3}{12}$

$5x - 2 \times 12 = 4x + 3 \times 10$

$5x - 24 = 4x + 30$

$5x - 4x = 30 + 24$

$x = 54$

54 is your answer

Answer 2

Answer:

Solution :-

$\longrightarrow$ $\dfrac{x}{2} - \dfrac{1}{5} = \dfrac{x}{3} + \dfrac{1}{4}$

$\Rightarrow$ $\dfrac{x}{2} - \dfrac{x}{3} = \dfrac{1}{4} + \dfrac{1}{5}$

$\Rightarrow$ $\dfrac{3x - 2x}{6} = \dfrac{5 + 4}{20}$

$\Rightarrow$ $\dfrac{x}{6} = \dfrac{9}{20}$

$\Rightarrow$ $20x = 54$

$\Rightarrow$ $x = \cancel{\dfrac{54}{20}}$

$\Rightarrow$ $x = \dfrac{27}{10}$

$\Rightarrow$ $x = 2.7$

$\therefore$ $\sf\: The\: answer\: of\: this\: question\: is\: x\: = 2.7$