Answer:
The Father is currently 47 and the Son is 7
Step-by-step explanation:
Let F and S be the present ages of Father and Son, respectively.
We are told that (F-2) = 9(S-2) [2 years ago, father age was nine times the son age]
We also learn that (F+3) = 5(S+3) [3 years later it will be 5 times only]
Take the first expression and isolate one of the variables (S or F). I'll isolate F:
(F-2) = 9(S-2)
F = 9S - 16
Now use this in the second expression:
(F+3) = 5(S+3)
((9S-16)+3) = 5(S+3)
9S-13 = 5S+15
4S = 28
S = 7
Since F = 9S-16,
F = 9*(7)-16
F = 47
Father is 47 and Son is 7
CHECK:
Was the father 9 times the age of his son 2 years ago?
Father would have been 45 and son 5. Yes, 9*5 = 45
In 3 years will he be 5 times older than his son? Yes, Father would be 50 and son would be 10. 5*(10) = 50
