Question

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

Answer 1

anyone help?

Answer 2

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

Answer 3

hmm anyone have a clue?

Answer 4

ill help just give me a minute to work it out

Answer 5

okay c:

Answer 6

gimme 5 minutes im asking my teacher

Answer 7

oh ok

Answer 8

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.

Answer 9

so sarah is 39 years old?

Answer 10

yes and tom is 11

Answer 11

thanks so much c;

Answer 12

ur welcome :)

Answer 13

just ask if u have any problems in math

Answer 14

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

Answer 15

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?

Answer 16

like 9 th

Answer 17

i am too haha its hard huh?

Answer 18

soorta

Answer 19

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

Answer 20

S = T(3) + 6

S - T = 28 the age difference

28 x's 3 + 6 = S

S stands for Sara
T stands for Tom

Answer 21

i kinda already said that in the last message :D

Answer 22

oh my bad, i didnt see that

Answer 23

lol its totally fine :)