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From a group of boys and girls, 14 girls leave first. Then the ratio of the number of girls to the number of boys becomes 1:2. After this, 43 boys leave the group. Now the boys and girls are equal in number. How many girls were there in the beginning?
Answers
Answered by
2
Let the number of boys be x and
Let the number of girls be y
Then , A.T.Q
1. y - 14 = 1
x 2
By cross multiplication.
2y - 28 = x ----------------------------------1
2. x - 43 = 1
y - 14 1
By cross multiplication
x - 43 = y - 14
Putting the value of x from 1
2y -28 - 43 = y - 14
2y - y = -14 + 71
y = 57.
Putting the value of y in 1
2y - 28 = x
2( 57) - 28 = x
114 -28 = x
x= 86
Hence the number of boys = 86 and number of girls = 57.
Let the number of girls be y
Then , A.T.Q
1. y - 14 = 1
x 2
By cross multiplication.
2y - 28 = x ----------------------------------1
2. x - 43 = 1
y - 14 1
By cross multiplication
x - 43 = y - 14
Putting the value of x from 1
2y -28 - 43 = y - 14
2y - y = -14 + 71
y = 57.
Putting the value of y in 1
2y - 28 = x
2( 57) - 28 = x
114 -28 = x
x= 86
Hence the number of boys = 86 and number of girls = 57.
shivam2000:
hope it helps you
Answered by
1
From a group of boys and girls, 14 girls
leave first. Then the ratio of the number of girls to the number of boys
becomes 1:2. After this, 43 boys leave the group. Now the boys and
girls are equal in number. How many girls were there in the beginning?
solution: -
let the number of girls = x
and number of boys = y
According to question ,
After 14 girls left the group ,
x - 14 /y = 1/2
or 2( x - 14 ) = y
2x - 28 = y ................. (1st )
After 43 boys left the group ,
x-14/y - 43 =1
x - 14 = y - 43
x - 14 + 43 = y
x +29 = y .......................... (2nd )
Using 2nd in 1st , we get
2x - 28 = x +29
2x = x+29 +28
2x - x = 29 + 28
x = 57
Hence the number of girls in the beginning were 57.
Hope this helps You!!
Thank You!!
Cheers !!
solution: -
let the number of girls = x
and number of boys = y
According to question ,
After 14 girls left the group ,
x - 14 /y = 1/2
or 2( x - 14 ) = y
2x - 28 = y ................. (1st )
After 43 boys left the group ,
x-14/y - 43 =1
x - 14 = y - 43
x - 14 + 43 = y
x +29 = y .......................... (2nd )
Using 2nd in 1st , we get
2x - 28 = x +29
2x = x+29 +28
2x - x = 29 + 28
x = 57
Hence the number of girls in the beginning were 57.
Hope this helps You!!
Thank You!!
Cheers !!
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