llMsHeartHackerll
Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

• a woman is seven times as old as her son. after five years she will be four times as old as her son. what are the present ages of the mother and son?

Answer asap!​

Sagot :

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
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.