Question

tamara has two sisters. one of the sisters is 7 years older than tamara. the other sisters is 3 years younger than tamara. the product of tamara's sisters' age is 24. how old is tamara?

Answer 1

Let tamara's age = x
How do you represent her sister's ages?

Answer 2

i put: t+7=x
t-3=y
xy=24

Answer 3

Ok. Tamara's age is t
The older sister is t+7 and the younger sister is t-3

Answer 4

And if you multiply the older sister's age by the younger sister's age, you get 24.

Answer 5

so if i do this:
x-7=y+3

x-7=24/x+3

x+2-7x= 24+3x

x+12

t+7=12
t+5
is tht right?

Answer 6

There is no y. Where are you getting a y?

Answer 7

(t+7)(t-3)=24

Answer 8

i didnt get tht part thts why im asking

Answer 9

Do you agree that the sister's ages are t
t-7 and t-3 ?

Answer 10

No. t+7

Answer 11

yea

Answer 12

The problem says to multiply her sisters' ages. Tamara is t years old. Her sisters are t+7 years old and t-3 years old. So if we are going to multiply her sister's ages, we must write (t+7)(t-3)

Answer 13

oooh

Answer 14

And the problem says that we will get 24 is we multiply those ages.

Answer 15

\[t^2+4t-21=24\]
\[t^2+4t-45=0\]

Answer 16

Did you get it?

Answer 17

Tamara`s age is x. Her sisters age is hers + 7 so age+7 = x+7
her other sister is 3 years younger, so age - 3 = x-3
After they say the product is 24. so sister1 * sister2 = 24
(x+7) * (x-3) =24
Here we need to think.
its a 2nd degree equation, so use quadratic formula

Answer 18

\[x^2+7x+3x+21 =24\]
\[x^2 +10x -3 = 0\]

Answer 19

The difference of the ages of the two sisters of tamara is 10.
There product is 24 so the ages are 12 and 2.
12-2 =10
12x2 =24

Answer 20

5

Answer 21

let T = Tamara

Sister 1 = S1

Sister 2 = S2


S1 = T + 7

S2 = T -3

( T+7 )( T-3 ) = 24

T^2 + 4T - 45 = 0

( T+9 )( T- 5 ) = 0

Discard T = - 9

Tamara = 5

S1 = 5+ 7 = 12

S2 = 5 - 3 = 2

Answer 22

@Luis_Rivera you do realy need to compute the age of Tamara

Answer 23

You do not

Answer 24

pretty, isnt it ?