Respuesta :

mathstudent55

Answer:

Mary is 10 years old, and her father is 40 years old.

Step-by-step explanation:

Let Mary's age = x.

Mary's father is four times as old, so he is 4x.

Five years ago, Mary was x - 5, and her father was 7(x - 5).

Five years ago, Mary's father was 4x - 5.

7(x - 5) = 4x - 5

7x - 35 = 4x - 5

3x = 30

x = 10

4x = 4 * 10 = 40

Mary is 10 years old, and her father is 40 years old.

fichoh

Mary is aged 10 years while her father is 40 years old.

Let:

  • Mary's age = x
  • Father's age = 4x

5 years ago :

  • Father's age = 4x - 5
  • Father's age = 7(x - 5) - - - (2)

We could Equate (1) and (2)

4x - 5 = 7(x - 5)

4x - 5 = 7x - 35

Collect like terms

4x - 7x = - 35 + 5

-3x = - 30

x = 10

Therefore, Mary's age is 10 years and her father's age is 4(10) = 40 years

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