When an amount was distributed among 14 boys, each of them got $₹ 80$ more than the amount received by each boy when the same amount is distributed equally among 18 boys. What was the amount?
Answer
Answer (as printed):
Explanation
Let the total amount be ₹ $x$. Then, $$\frac{x}{14}-\frac{x}{18}=80 \Leftrightarrow \frac{2 x}{126}=80 \Leftrightarrow \frac{x}{63}=80 \Leftrightarrow x=63 \times 80=5040 .$$ Hence, total amount = ₹ 5040.
Explanation as extracted from the printed page; notation may be imperfect.