Answer:
42, 12)
Explanation:
Let the present ages of the father and son be x years and y years respectively.
According to the question,
Condition I,
Three years ago the sum of the ages of the father and his son was 48 years.
or,(x−3)+(y−3)=48
or,x−3+y−3=48
or,x−6=48−y
or,x=54−y - (i)
Condition II,
Three years hence the father's age will be three times the son's age,
or,(x+3)=3(y+3)
or,x+3=3y+9 - (ii)
Put value of x from equation (i) in equation (ii), we get,
or,(54−y)+3=3y+9
or,54−y=3y+9−3
or,54−6=3y+y
or,48=4y
or,y=484
∴y=12
Put the value of y in equation (i), we get,
or,x=54−12
∴x=42
So, (x,y) = (42, 12)
Therefore, the required present ages of the father and the son are 42 years and 12 years respectively.