## spidergirl51 3 years ago Sarah is 6 years older than 3 times the age of her son Tom. The difference in sarah age and Tom's age is 28 years. A. Write an equation using the information given? B. How old are Sarah and Tom

1. spidergirl51

anyone help?

2. spidergirl51

Its Algebra I guess and i need to do it for hw can anybody help please c:

3. spidergirl51

hmm anyone have a clue?

4. faby9898

ill help just give me a minute to work it out

5. spidergirl51

okay c:

6. faby9898

gimme 5 minutes im asking my teacher

7. spidergirl51

oh ok

8. faby9898

There are two statements about the ages. That means there are TWO equations. Let S be Sarah's age and T be Tom's age. Then: S = 6 + 3T .... "Sarah is 6 years older than 3 times the age of her son Tom" |S - T| = 28 .... "The difference in Sarahs age and toms age is 28 years" Since you know from common sense that Sarah is older than Tom, you can drop the absolute value bars and have two equations in two unknows. The second is now: S - T = 28 .... which you can rewrite as: S = T + 28 .... and use this to subsitute for S in the first equation: (T + 28) = 6 + 3T T + 22 = 3T .... subtracted 6 from both sides 22 = 2T .... subtracted T from both sides T = 11 .... divide both sides by 2, and put the variable on the left Tom is 11 years old. Sarah's age is 6+3T = 6 + 3(11) = 6 + 33 = 39 years.

9. spidergirl51

so sarah is 39 years old?

10. faby9898

yes and tom is 11

11. spidergirl51

thanks so much c;

12. faby9898

ur welcome :)

13. spidergirl51

just ask if u have any problems in math

14. spidergirl51

i need to do a lot of these tyoe of problems for math and its super hard

15. faby9898

its pretty easy once u find the equation and yes i have some problems in math but i manage to get threw them haha what grade r u in?

16. spidergirl51

like 9 th

17. faby9898

i am too haha its hard huh?

18. spidergirl51

soorta

19. faby9898

u will get it soon enough haha i homeschool and i manage to get through it

20. edgarhinojoza

S = T(3) + 6 S - T = 28 the age difference 28 x's 3 + 6 = S S stands for Sara T stands for Tom

21. faby9898

i kinda already said that in the last message :D

22. edgarhinojoza

oh my bad, i didnt see that

23. faby9898

lol its totally fine :)