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?

Respuesta :

Answer:

3x + 15

Step-by-step explanation:

The expression would be 3x + 15 I just did this one ;)

The age of the son = 12 years

The age of the father = 42 years

The expression that represents the father's age 3 years from now  = 3x + 15

x = son's age 2 years ago

let

y = Father's age 2 years ago

Two years ago a father was 4 times as old as his son. This can be represented as follows:

  • y = 4x

Three years from now the father will only be only three times as olds as the son. This can be represented below

  • y + 2 + 3  = 3(x + 2 + 3)
  • y + 5 = 3(x + 5)
  • y + 5 = 3x + 15
  • y = 3x + 10

4x = 3x + 10

4x - 3x = 10

x = 10(son's age 2 years ago)

y = 3(10)+ 10 = 40(Father's age 2 year ago)

The son's age now = 10 + 2 = 12 years

The father's age now = 40 + 2 = 42 years

The expression that represents the father's age three years from now = 3x + 15

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