Question

I'm 2 yrs older than my sister but my father is 2 times older than me. Five yrs ago I was 13 yrs younger than my father?
How old am I ?

Answer 1

Answer: 13

Step-by-step explanation: Your sister is x years old. You are x+2 years old. Your father is twice your age, so he is 2(x+2) years old, which can be simplified as 2x+4. Five years ago, your sister was x-5 years old, you were x+2-5, or x-3 years old and your father was 2x+4-5, which can be written as 2x-1 years old.

Five years ago, you were 13 years younger than your father so

2x-1-13 = x-3

If you solve for x:

2x-14 = x-3

2x = x-3+14

x=11

Your sister's present age is x, or 11. You are two are years older than your sister so you are 13.