Albert School had 565 pupils and Valen School had 40% more pupils. When an equal number of pupils left each school, the ratio of the pupils in Valen School to that in Albert School became 2 : 1. How many pupils were there in both schools in the end?

	Albert School	Valen School	Difference
Before	565		226
Change	- ?	- ?
After	2 u	1 u	1 u

Since an equal number of pupils left each school, the difference in the number of pupils at first and in the end between the 2 schools remains the same.  Make the difference between the number of pupils in Albert School and Valen School at first and in the end the same. 

Difference between the number of pupils in both schools at first
= 40% x 565
= ⁴⁰₁₀₀ x 565
= 226

Difference between the number of pupils in both schools in the end
= 2 u - 1 u
= 1 u

1 u = 226

Total number of pupils in both schools in the end
= 2 u + 1 u
= 3 u
= 3 x 226
= 678

Answer(s): 678