Question 272430
The class has 27 students divided into two groups.
x = number of students in one group
y = number of students in the other group
x + y = 27 describes the whole class.
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One group has 5 fewer than the other.  This can be shown as:
x = y + 5  :: which means y has 5 fewer than x
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this can be solved as a system of equations.
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x + y = 27
x - y = 5
add them
2x = 32
x = 16
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which means
y = 27 - 16 = 11
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Answer:
One group has 16 and the other has 11.
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Done.