Question

x/2+x/3+x/4–26= find the cross multiplication method.

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Answer 1

$\large\sf\underline{Given}$

• $\sf\:\frac{x}{2}+\frac{x}{3}+\frac{x}{4}-26=0$

$\large\sf\underline{Solution :-}$

$\sf⟹\:\frac{x}{2}+\frac{x}{3}+\frac{x}{4}-26=0$

Let's find the LCM of 2 , 3 and 4 .

$\tt\purple{LCM\:=12}$

$\sf⟹\:\frac{6x+4x+3x-312}{12}=0$

$\sf⟹\:\frac{10x+3x-312}{12}=0$

$\sf⟹\:\frac{13x-312}{12}=0$

Cross multiplying :

$\sf⟹\:13x-312=0 \times 12$

$\sf⟹\:13x-312=0$

$\sf⟹\:13x=312$

$\sf⟹\:x=\frac{312}{13}$

$\tt\purple{⟹x=24}$

Thnku ❣

Answer 2

$\huge\rm\color{orange}{{\mathcal{A}}n{\mathcal{S}}w{\mathcal{E}}r:}$

${}$

$\bf{{\underline{To~solve}}:}$

$\tt \frac{x}{2} + \frac{x}{3} + \frac{x}{4} - 26 = 0 ~~~~~~~~~~~~~~~~~~~~\\ \\ \tt : \implies \bigg( \frac{6x + 4x + 3x}{12} \bigg) - 26 = 0 \: \: \: \: (LCM = 12) \\ \\ \tt : \implies \frac{13x}{12} - 26 = 0 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\ \\ \tt : \implies \frac{13x - 312}{12} = 0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \\ \\ \tt : \implies 13x - 312 = 0 \times 12 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\ \\ \tt : \implies 13x - 312 = 0 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\ \\ \tt : \implies 13x = 312~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \\ \\ \tt : \implies x = \frac{312}{13} ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \\ \\ \tt : \implies x = \orange{ \underline{ \boxed{ \bf 24}}}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \: \:$

$\bf\therefore{{\underline{Required~answer}}:}$

$\tt \: \: \: \: \: \: \: \: \: \: \: \: \: x = \orange{ \underline{ \boxed{ \bf 24}}}$