Question

in a Total numben of the boys and girls class is 180. If the number of girls is 10 more than that boys' find the number of boys and girls in that class ?

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Answer 1

Answer:

Let the number of boys be x and the number of girls be y.

In the 1st case

x+y=180 ----1

In the 2nd case

x+10=y

x-y= -10 -----2

Now,

equation 1 - equation 2

• x + y - ( x - y ) = 180 - ( -10 )
• x + y - x + y = 180 + 10
• 2y = 190
• y = 190/2
• y = 95

Putting the value of y in equation 1 , we get ,

• x + 95 = 180
• x = 180 - 95
• x = 85

Hence ,

Number of boys ( x ) = 85

Number of girls ( y ) = 95

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Answer 2

Let the number of boys be x and the number of girls be y .

In the 1st casex + y = 180 ---

(1) In the 2nd case,x + 10 = y x - y = -10 (2) Now,eq (1) - eq (2)→x + y - (x -y ) = 180 - (-10)→x+y-x+y = 180 + 10► 2y = 190→y = 190/2→y=95

Putting the value of y in eq(1), we get,x + 95 = 180→x = 180 - 95→x=85

Hence,

★ Number of boys (x) 85★ Number of girls (y) 95