# Question #d3d11

##### 1 Answer

#### Answer:

The father is 24 years old, and the son is 6 years old.

#### Explanation:

*Let x represent the son's age.
Let y represent the man's age.*

**Make two equations:**

**(1)** *The man's age is equal to four times his son's age:*

**(2)** *In three years the man's age will be #y + 3#.
In three years the son's age will be #x + 3#.
In three years the man's age will be equal to three times his son's age.*

**Expand the second equation:**

**Equate the two equations:**

*Since #y = 4x#, you can replace the #y# in the second equation with #4x#*

**Simplify the equation:**

**Substitute this value into the first equation:**

**Therefore the son's age #(x)# is 6 years and the man's age #(y)# is 24 years.**