Alan and Bala has some erasers. 1/5 of the number of erasers Alan has was equal to 2/3 or the number of erasers Bala has. Alan has 21 erasers more than Bala. How many erasers does Bala Rave?

1 answer

Let's say Alan has x erasers.
Therefore, 1/5*x = 2/3*x - 21
Multiply by 15 both sides of the equation:
3*x = 10*x - 315
Simplifying the right side, we get:
10*x - 3*x = 315
7*x = 315
So x, the number of erasers Alan has, is equal to 315/7 = <<315/7=45>>45 erasers.
This also means that Bala has 45 - 21 = <<45-21=24>>24 erasers. Answer: \boxed{24}.