Question

Two years ago a father was four times as old as his son. Three years from now the father will be only three times as old

as the son. How old is each now?
If x represents the son's age two years ago, which expression represents his father's age three years from now?

a. x+3

B. 3x + 3

c. 3x + 15 ​

Answer 1

c. 3x + 15

The son is currently 12 years old.

The father is currently 42 years old.

Explanation:

x = the son's age 2 years ago

x + 2 = the son's age in the present

x + 5 = the son's age 3 years from now

f = the father's age 2 years ago = 4x

f + 2 = the father's age in the present = 4x + 2

f + 5 = the father's age 3 years from now = 3(x + 5) = 4x + 5

*3(x + 5) when distributed is equivalent to 3x + 15

4x + 5 = 3x + 15

x + 5 = 15

x = 10

This means that:

Present age of the son: (10) + 2 = 12 years old

Present age of the father: 4(10) + 2 = 42 years old

~Hope this Helps!~