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Previous Year Question (PYQs)

In a class the ratio of boys and girls is 4 : 3. If 7 girls join the class, the ratio of boys and girls becomes 3 : 4. Then the number of boys in the class is:




Solution

Initial ratio $= 4 : 3$ Let boys $= 4x$, girls $= 3x$ After 7 girls join: $\frac{4x}{3x + 7} = \frac{3}{4}$ $16x = 9x + 21$ $7x = 21$ $x = 3$ Number of boys $= 4x = 12$

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