Question

your brother is 1.3 your age. your sister is 6 years older tahn your brother.Your sister is 10 years old. Write and solve a equation to find your age a

Answer 1

My age is 12 years.

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 =
`(1)/(3)x`

Also according to question;

my sister is 6 years older than my brother;

Sister's age =
`6+(1)/(3)x`

Also given Sister's age = 10 years

hence equation to find my age will be expressed as below;

`6+(1)/(3)x = 10\\\\(1)/(3)x = 10-6\\\\(1)/(3)x = 4\\\\\therefore x = 4*3 = 12`

Brothers age =
`(1)/(3)x=(1)/(3)*12=4`

Hence my age is 12 years.