The teacher separated her class of twenty-eight students in two groups. one group has 4 more than twice as many students as thw ither group. how many students are in each group?
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Let x be the first group of students in a class and y be the second group of students in the class.

As per the statement:

As, the teacher separated her class of twenty-eight students in two groups.

⇒ x+y = 28             ......[1]

Also, one group has 4 more than twice as many as the other group.

⇒ x = 4 + 2y               ......[2]

Now, substitute the equation [2] in [1]; we have

Combine like terms;

4 + 3y = 28

Subtract 4 from both sides we get;

Simplify:

3y = 24

Divide by 3 to both sides we get;

Simplify:

y = 8

Now, substitute the value of y in equation [2] to solve for x;

or

x = 20

therefore, the number of students in each group are 20 and 8.