Question

value of x in x upon 3 + 1 upon 4 = x upon 2 minus 1 upon 5​

Answer 1

$\bf{\underline{\underline{\bigstar\bigstar\: Equation :}}}$

$\:$

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

$\:$

$\bf{\underline{\underline{\bigstar\bigstar\: Solution :}}}$

$\:$

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

$\footnotesize{\implies \dfrac{4x + 3}{12} = \dfrac{5x - 2}{10}}$

$\footnotesize{\implies (4x + 3)\times 10 = \dfrac(5x - 2)\times 12}$

$\footnotesize{\implies 40x + 30 = 60x - 24}$

$\footnotesize{\implies 24 + 30 = 60x - 40x}$

$\footnotesize{\implies 53 = 20x}$

$\footnotesize{\implies \dfrac{53}{20} = x}$

$\:$

$\bold{\therefore \: Value \: of \: x \: is \: \dfrac{53}{20}}$