Question

Each day the sum of the average time spent on grooming for 20 to 24-year-old woman and men is 82 minutes. The difference between Roman times for 20 to 24-year-old women and men is 28 minutes. Given that 20 to 24-year-old woman on average spend more time grooming a 20 to 24-year-old man how many minutes per day do 2024-year-old women and men each spend on grooming?

Answer 1

20-to-24- year-old women spend 55 minutes and men spend 27 minutes on grooming

Explanation:

let x is the average time of 20-to-24- year-old women

y is the average time of men.

The sum of the average times spent on grooming for 20-to-24- year-old women and men is 82 minutes:

x + y = 82 .....(1)

The difference between grooming times for 20-to24-year old women and men is 20 minutes:

x - y = 28 .....(2)

Add equation 1 and 2.

x + y = 82

x - y = 28

2x = 110

x = 55

The average time of 20-to-24- year-old women is 55 min .

Put x = 55 in equation 1.

55 + y = 82

y = 27

The average time of men is 27 min.

Hence, 20-to-24- year-old women spend 55 minutes and men spend 27 minutes on grooming