Alex and Dave shared some apples. Alex had twice as many apples as Dave. When Dave gave 10 apples to Alex, he had 8 times as many apples as Dave in the end. Find the number of apples Alex had at first.
Let's assume Dave had x apples at first.
⇒ Alex had = 2x apples
When Dave gave 10 apples to Alex, he had 8 times as many apples as Dave in the end.
∴ According to question,
2x+10=8(x−10)
2x+10=8x−80
6x=90
⇒x=15
Thus, Alex had 30 apples at first.