Question 1024616
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System of Linear Equation question : there are 8173 students in a college such that the number of girls is 421 more than the number of boys. How many of each are there ?
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g + b = 8173,   (1)
g - b =  421.   (2)

Every time when you see two equations like these, add them. In your case you get

2g = 8173 + 421,   or

2g = 8594.

Hence, g = {{{8594/2}}} = 4297.

There are 4297 girls in the college.

Now, from (1), b = 8173 - g = 8173 - 4297 = 3876.

<U>Answer</U>. 4297 girls and 3876 boys.
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