Question:
The share of A when Rs 25 are divided between A and B, so that A gets Rs 8 more than B, is——–.
Solution:
$₹ 16.5$
Let, $B$ 's share be $₹ x$. Then, $A$ 's share $=₹(x+8)$
According to the question,
$x+x+8=25$
$\Rightarrow \quad 2 x+8=25$
$\Rightarrow \quad 2 x=25-8$ [transposing 8 to RHS]
$\Rightarrow \quad 2 x=17$
$\Rightarrow$ $\frac{2 x}{2}=\frac{17}{2}$ [dividing both sides by 2 ]
$\Rightarrow$ $x=8.5$
Hence, $A$ 's share $=8.5+8=₹ 16.5$
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