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Question

When a bus started from the first stop, the number of male passengers to the number of female passengers was 3:1. At the first stop, 16 passengers got down and 6 more female passengers got in. The ratio of the male to female passengers now became 2:1. What was the total number of passengers in the bus when it started from the first stop?

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Solution

Let the number of boys be 3x
Let the number of girls be x
when 16 passengers got down from total & 6 girls got in
3x16×(34)&x16×(14)+6

Ratio of boys Ratio of girls
3x12 & x+2
New Ratio is 2:1
3x21:x+2::2:1
3x12=2x+4
x=16
Boys =3x=48
Girls =x=16––––––––
64

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