Question

A has rs 180 and B has rs 162 . A wins a certain sum of money from B . Then B has four-fifths of what A has . How much did A win ? verify the answer or check the answer

Answer 1

Let A wins amount x from B. Then
$162 - x = \frac{4}{5} \times (180 + x) \\ 810 - 5x = 720 + 4x \\ 9x = 90 \\ x = 10$
Verification:
After winning the amount,
A has Rs. 190
B has Rs. 152

4/5 × 190 = 4 × 38 = 152