There are 24 people using the gym. The ratio of men to women is 2:1

People using the gym = 24

ratio of men to women = 2:1

it means women are 2 times more than men.

let x be the number of men than:

2x+x = 24

3x = 24

x = 8

so, the number of men in the gym is 8 and number of women in the gym is 16.

Let the number of women using the gym be y

since the number of men using the gym is twice the number of women

(ratio is 2:1), therefore:

number of men using the gym is 2y

The total number of people using the gym is 24. Therefore:

y + 2y = 24

3y = 24

y = 24/3 = 8

Therefore:

number of women using the gym = 8 women

number of men using the gym = 2 x 8 = 16 men