Answer to Question #297647 in Algebra for Chissy

Question

There are 2 groups of people. The first group of people is standing at the right hand, but the second group standing on the left side is half the number of the first group, in the middle stands one man. So if both groups plus 1 man is equal to 100, how many people are in every group?

Answer 1

Let $x=$ the number of people in the group standing on the left side. Then $2x$ will be the number of people in the group standing on the right side.

Both groups plus 1 man is equal to 100

$$x+2x+1=100$$

$$3x=99$$

$$x=33$$

$$2x=66$$

There are 33 people in the group standing on the left side.

There are 66 people in the group standing on the right side.