Solution:
Given:
When 5 children join B from A, the number of children in both classes is the same
If 25 children from B join A, the number of children in A becomes double the number in B
Calculation:
Let the number of children in class A be 'a' and that of class B be 'b'
As per question
5 children from class A join class B
⇒ a - 5 = b + 5
⇒ a - b = 10 -----(1)
Also, when 25 children from B join A, the number of children in A becomes double the number of children in B
⇒ a + 25 = 2 × (b - 25)
⇒ 2b - a = 75 -----(2)
By adding equations (1) and (2), we get
b = 85 and
a= 95
∴ The ratio of the number of children in A to the number of children in B is 19 ∶ 17
