Question

The average age of a father and his only son is 25% more than the average age of that boy and his mother. When that boy was born, his mother was 30 years old and his father was 40 years old. Find the present age of father

Answer 1

Answer:

Step-by-step explanation:

let boy's age be x

father's age would be x+40

mother's age would be x+30

average age of father and son = x+x+40/2

                                                   =2x+40/2

                                                   =x+20

average age of mother and son=x+x+30/2

                                                    =2x+30/2

                                                     =x+15

according to question:

x+20=125/100 × x+15

x+20=125x +1875/100

100x+2000=125x +1875

2000-1875=125x-100x

125=25x

x=125/25

x=5

father's age was taken as x+40

so father's age=5+40=45