Q1. The ratio of girls to boys in a class is 2:3. In the next academic session the number of
girls increases by 30 and boys increases by 20, now the new ratio becomes 1:1. What was
the original number of girls & boys in the class? [5]
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Given:
The initial ratio of girls to boys = 2:3
The number of girls increased = 30
The number of boys increased = 20
New ratio = 1:1
To find:
The original number of girls & boys.
Solution:
Let the initial no. of girls & boys be 2x and 3x respectively. Then if the the final ratio is 1:1.
(2x+30)/ (3x+20) = 1/1
2x+30 = 3x+20
x = 10
The original number of girls will be = 2x = 20
The original number of boys will be = 3x = 30
The original number of girls & boys will be 20 and 30 respectively.
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