The ratio of boys and girls in a group is 7 : 6. If 4 more boys join the group and 3 girls leave the group, then the ratio of boys to girls become 4 : 3. What is the total number of boys and girls initially in the group?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e 104
Initially, the ratio of Boys : Girls = 7: 6
After, 4 more boys join the group and 3 girls leave the group, the new ratio becomes 4 : 3
So, ATQ
⇒ (7x + 4) / (6x - 3) = 4 / 3
⇒ 21x + 12 = 24x - 12
⇒ 3x = 24
⇒ x = 8
Thus, the no of students initially = ( 7 + 6) × 8
= 104