Question

2x articles cost ₹5x+54 and x+2similar articles cost ₹10x-4.find x

Answer 1

x should not be negative
therefore
x=6

Answer 2

6 is the value of x if the cost price of$\bold{2x}$ and $\bold{x+2}$articles are $\bold{Rs.5x+54}$ and $\bold{Rs.10x-4}$.

Given:

$2x$and $x+2$ articles are $Rs.5x+54$ and $Rs.10x-4$

To find:

Value of x = ?

Solution:

The number of articles given are $2x$ and $x+2$

The cost price of $2x$ and $x+2$ articles are $Rs.5x+54$ and $Rs.10x-4$

Now as the question says the number of articles is equal to the cost price of the article

$\frac{2 x}{x+2}=\frac{5 x+54}{10 x-4}$

$\begin{array}{c}{2 x(10 x-4)=5 x+54(x+2)} \\ {(x-6)(15 x+18)=0}\end{array}$

$\begin{array}{c}{2 x(10 x-4)=5 x+54(x+2)} \\ {(x-6)(15 x+18)=0} \\ {x=6,-\frac{18}{15}}\end{array}$

The value of x is either 6 or$-\frac{18}{15}$, but due to the negative nature of the number$-\frac{18}{15}$, the value of x can only be 6.

Hence, the value of x = 6.