Amys father is twice her age Her mother is 5 years younger than her father Amys brother is 6 years younger than her. Their four ages add to 133. How old is Amy?

Question

Amy’s father is twice her age. Her mother is 5 years younger than her father. Amy’s brother is 6 years younger than her. Their four ages add to 133. How old is Amy?

Answer 1

Let x = Amy's age

 

Then 2x = father's age

 

        2x-5 = mother's age

 

        x-6 = brother's age

 

x + 2x + (2x-5) + (x-6) = 133

 

                          6x - 11 = 133

 

                                 6x = 144

 

                                   x = 24

 

Amy is 24 years old.