Question

solve the equation

x/8+x/4+x/12=48​

Answer 1

$\sf\huge\bold{Solution}$

$\longmapsto \dfrac{x}{8} + \dfrac{x}{4} + \dfrac{x}{12} = 48$

L.C.M of 8,4 and 12 is 24

$\longmapsto \dfrac{3x + 6x + 2x}{24} = 48$

Now ,cross multiply between L.H.S and R.H.S

=>On the L.H.S 24 which is in divided form when shift towards right hand side it gets multiplied with 48.

$\sf\longmapsto11x = 24 \times 48$

$\sf\longmapsto11x = 1152$

=>Here,11 is being multiplied with Variable x ,its sign will get change when it shifts to the right hand side from multiply to division.

$\sf x = \dfrac{1152}{11} = 104.72$

$\sf\bold{X=104.72}$

Check

$\sf\longmapsto \dfrac{104.72}{8} + \dfrac{104.72}{4} + \dfrac{104.72}{12}$

$= 47.99 = 48$