The ratio of boys and girls in a groupis 7 6 If 4 more boys join the group and 3 girls leave the gro...........

Quantitative Aptitude (CGL) Ratio, Proportion

The ratio of boys and girls in a groupis 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. Whatis the total number of boys and girls initially in the group?

This questions was previously asked in

SSC CGL 4th March 2020 Shift-2

117

104

- Let the initial number of boys be 7x and girls be 6x, based on the ratio 7:6.

- When 4 more boys join, the number of boys becomes 7x + 4.

- When 3 girls leave, the number of girls becomes 6x - 3.

- The new ratio of boys to girls is 4:3.

- Set up the equation: (7x + 4) / (6x - 3) = 4/3.

- Solving this equation, we find x = 8.

- So, initially, the number of boys is 7x = 56 and girls is 6x = 48.

- Therefore, the total number initially is 104.

Answer: Option 4 - 104 is correct.

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