Question

The share of $A$ when $₹25$ are divided between $A$ and $B$ so that $A$ gets$₹8$more than $B$ is _________.

Answer 1

Let us assume that $\mathrm{B}$'s share is $x$.

It is given that $A$ gets$₹8$more than $B$.

That means, $A$'s share $=x+8$.

The total amount of money $=₹25$

$\Rightarrow$ $\left(x\right)+(x+8)=25$

$\Rightarrow$ $2x+8=25$

$\Rightarrow$ $2x=25-8$

$\Rightarrow$ $x=\frac{17}{2}$

$\Rightarrow$ $x=8.5$

That means, $\mathrm{B}$'s share $=₹8.5$.

Also, $A$'s share $=x+8$

$=8.5+8$ ( substituting $x=8.5$)

$=16.5$

Hence, the share of $A$ is $₹16.5$.