Let

x = Kylie's age

x + 4 = Susan's age (since she is 4 years older than Kylie)

4x - 1 = Paige's age (1 less than 4 times Kylie's age)

The sum of all the ages altogether is 22:

x + (x + 4) + (4x - 1) = 22

........

click here to see the equation solved for x

........

x = 19/6 years

x = 3 1/6 years

x = 3 years 12/6 months

x = 3 years 2 months

Kylie's age 3 years and 2 months.

3 year 2 months + 4 years = 7 years 2 months is Susan's age.

4*(19/6) - 1 = 35/3 years = 11 years 2*12/3 months = 11 years 8 months is Paige's age.