llMsHeartHackerll
Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

• 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 appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.