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 becomes 4 : 3. What is the total number of boys and girls initially in the group?

104

The ratio of Boys and girls in a group = 7x : 6x

According to the question,

⇒ \(\frac{7x + 4}{6x - 3}\) = \(\frac{4}{3}\),

⇒ 21x + 12 = 24x - 12,

⇒ 3x = 24,

⇒ x = 8,

The total number of boys and girls initially in the group are = 7(8) + 6(8) = 56 + 48 = 104.