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20 boys and 32 girls form a group for social work. During their membership drive an equal number of boys and girls also join the group. How many members does the group have now, if the ratio of boys to girls is 3 ∶ 4?

20 boys and 32 girls form a group for social work. During their membership drive an equal number of boys and girls also join the group. How many members does the group have now, if the ratio of boys to girls is 3 ∶ 4? Correct Answer 84

Let the number of boys or girls which joined the group be x

(20 + x)/(32 + x) = ¾

80 + 4x = 96 + 3x

∴ x = 96 – 80 = 16

∴ Number of members in the group = 20 + 16 + 32 + 16 = 84

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