Question

If x/2 + x/3 - x/4 = 14 ,then value of x is : *
a 23
b 25
c 26
d 24​

Answer 1

Given :-

$\sf\dfrac{x}{2}+\dfrac{x}{3}-\dfrac{x}{4}=14$

To Find :-

Value of x

Solution :-

$\sf\dfrac{x}{2}+\dfrac{x}{3}-\dfrac{x}{4} = 14$

Taking LCM of 2,3 and 4 as 12

$\sf\dfrac{6x+4x-3x}{12} = 14$

$\sf\dfrac{10x-3x}{12}=14$

$\sf\dfrac{7x}{12}=14$

$\sf 7x=14\times12$

$\sf x=\dfrac{14\times12}{7}$

$\sf x=2\times12$

$\sf x=24\bigg(Option \; D\bigg)$