When 5 children from class A join class B, the number of children in b

1.	When 5 children from class A join class B, the number of children in both classes is the same. If 25 children from B, join A, then the number of children in A becomes double the number of children in B. The ratio of the number of children in A to those in B is:1. 9 : 82. 19 : 183. 19 : 174. 18 : 17
Answer» Correct Answer - Option 3 : 19 : 17 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 -----eq^-n (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 ------eq^-n (2) By adding eq^-n(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

When 5 children from class A join class B, the number of children in both classes is the same. If 25 children from B, join A, then the number of children in A becomes double the number of children in B. The ratio of the number of children in A to those in B is:1. 9 : 82. 19 : 183. 19 : 174. 18 : 17

Answer» Correct Answer - Option 3 : 19 : 17

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 -----eq^-n (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 ------eq^-n (2)

By adding eq^-n(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