Question

solve the following
$\frac{x}{2} - \frac{x}{3} + \frac{x}{4} = 6$
​

Answer 1

$\huge \mid{ \underline{ \overline { \bold{ ✯ \red{AnSwer}✯}}}} \mid$

$\frac{x}{2} - \frac{x}{3} + \frac{x}{4} = 6 \\ \\ \implies \frac{6x - 4x + 3x}{12} = 6 \: \: \: \: \: \: \: \: \: \\ \\ \implies 6x - 4x + 3x = 6 \times 12 \\ \\ \implies 5x = 72 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \boxed{x = \frac{72}{5}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

so, value of x is 72/5 or 14.4

Answer 2

AnsweR :-

$: \implies \sf \frac{x}{2} - \frac{x}{3} + \frac{x}{4} = 6 \\ \\: \implies \sf \frac{6x - 4x + 3x}{12} = 6 \\ \\: \implies \sf 6x - 4x + 3x = 6 \times 12 \\ \\: \implies \sf 5x = 72 \\ \\: \implies \boxed{ \sf x = \frac{72}{5}}$

VerificatioN :-

$: \implies \sf \frac{ \frac{72}{5} }{2} - \frac{ \frac{72}{5} }{3} + \frac{ \frac{72}{5} }{4} = 6 \\ \\ : \implies \sf \frac{72}{10} - \frac{72}{15} + \frac{72}{20} = 6 \\ \\ : \implies \sf \frac{432 - 288 + 216}{60} = 6 \\ \\: \implies \sf \frac{360}{60} = 6 \\ \\: \implies\boxed{ \sf 6 = 6}$

• LHS = RHS

• Hence answer is correct