(ii) In class X of a school, the ratio of the number of boys to that of the girls is
4:3. If there were 20 more boys and 12 less girls, then the ratio would have been
2: 1. How many students were there in the class?
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5
Answer:
let there be x boys and y girls.
A.P.C 1
x:y = 4:3
3x-4y=0-------(1)
A.P.C. 2
x+20:y -12= 2:1
x+20=2y-24
x- 2y= -44
( Multiplying EQ. by 2)
2x - 4y = -88 ---------(2)
3x - 4y = 0 ---------(1)
-. +. -
____________
- x. = -88
x= 88
substitute x=88 in eq. 1
3x-4y =0
3(88)- 4y=0
264 - 4y=0
- 4y=-264
y= 66
total no. of students = x + y
=88+66
=154.
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Answer:
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