Respuesta :

Answer:

35 and 5

Step-by-step explanation:

let the son's age be x then mother's age is 7x

In 5 years

son's age = x + 5 , mothers age is 7x + 5 and

7x + 5 = 4(x + 5)

7x + 5 = 4x + 20 ( subtract 4x from both sides )

3x + 5 = 20 ( subtract 5 from both sides )

3x = 15 ( divide both sides by 3 )

x = 5

son's age is 5

mother's age is 7x = 7 × 5 = 35

Let

  • present age of son=y
  • present age of mother=7y

After 5years

  • age of son=y+5
  • age of mother=7y+5

ATQ

[tex]\\ \sf\longmapsto 7y+5=4(y+5)[/tex]

[tex]\\ \sf\longmapsto 7y+5=4y+20[/tex]

[tex]\\ \sf\longmapsto 7y-4y=20-5[/tex]

[tex]\\ \sf\longmapsto 3y=15[/tex]

[tex]\\ \sf\longmapsto y=5[/tex]

[tex]\\ \sf\longmapsto 7y=5(7)=35[/tex]

  • Present age of son=5yrs
  • Present age of mother=35yrs

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