Question

your brother 1/4 yor age.your sister is 8 years older than your brother.your sister is 12 years old.write and solve tan equation to find your age aan equation is __= 12you are _ years old

Answer 1

Let A be your age, B be the age of your brother and S be the age of your sister.

Since your brother is 1/4 your age, then:

$B=\frac{1}{4}A$

Since your sister is 8 years older than your brother, then:

$S=B+8$

Since your sister is 12 years old, then:

$S=12$

Use the second equation to find your brother's age by plugging in S=12:

$\begin{gathered} S=B+8 \\ \Rightarrow12=B+8 \\ \Rightarrow B=12-8 \\ \therefore B=4 \end{gathered}$

Plug in B=4 in the first equation to find your age:

$\begin{gathered} \frac{1}{4}A=B \\ \Rightarrow\frac{1}{4}A=4 \\ \Rightarrow A=4\times4\rbrack \\ \therefore A=16 \end{gathered}$

Therefore, you are 16 years old.