Question

Jessica and her father are comparing their ages. At the current time, Jessica's father is 24 years older than her l. Three years from now, Jessica father will be five times her age at the point​

Answer 1

Jessica is currently 3 years old and her father is 27 years old.

Explanation:

System of Equations

Let's call:

x = Jessica's age

y = Jessica's father's age.

There are two conditions:

1: Jessica's father is 24 years older than her or, equivalently:

y = x + 24

2: Three years from now, he will have five times her age.

Three years from now, Jessica will have x+3 years, and her father will have y+3 years, thus:

y + 3 = 5( x + 3 )

Substituting the first condition into the second:

x + 24 + 3 = 5( x + 3 )

Operating:

x + 27 = 5x + 15

Subtracting x and 15:

27 - 15 = 5x - x

12 = 4x

Solving:

x = 12 / 4 = 3

x = 3

y = 3 + 24 = 27

y = 27

Jessica is currently 3 years old and her father is 27 years old.