Question

In a school, the number of boys and girls were in the ratio 5 : 7. Eight more boys were admitted during the session. The new ratio of girls and boys is 1 : 1. In the beginning, the difference between the number of boys and that of girls was:

• A. 12
• B. 02
• C. 10
• D. 08

Answer 1

Answer:

D. 08

Let the number of boys and girls be 5a and 7a After admission of 8 more boys, (5a + 8)/7a = 1/1 5a + 8 = 7a 7a - 5a = 8 2a = 8 a = 4 The difference between the number of boys and girls in the beginning = 7a - 5a = 2a 2 × 4 = 8