Answer:
My age is 12 years.
Step-by-step explanation:
Given:
Sister's age = 10 years
Let my age be x.
Now according to question;
my brother's age is 1/3 of my age
So brother's age = [tex]\frac{1}{3}x[/tex]
Also according to question;
my sister is 6 years older than my brother;
Sister's age = [tex]6+\frac{1}{3}x[/tex]
Also given Sister's age = 10 years
hence equation to find my age will be expressed as below;
[tex]6+\frac{1}{3}x = 10\\\\\frac{1}{3}x = 10-6\\\\\frac{1}{3}x = 4\\\\\therefore x = 4\times3 = 12[/tex]
Brothers age = [tex]\frac{1}{3}x=\frac{1}{3}\times12=4[/tex]
Hence my age is 12 years.
