The sum of the ages of father and son at present is 45 years. If both live on until the son's age becomes equal to the father's present age, the sum of their ages then will be 95 years. Find their present ages. (Ans: 35yrs, 10yrs)
Answers
Answered by
4
Answer:
Let x years be the present age of the father, then the present age of the son will be (45−x) years.
Five years ago, the age of father was (x−5) years and that of son was (45−x−5)=(40−x) years.
As, five years ago, the product of ages was 124.
(x−5)(40−x)=124
⇒x
2
−45x+324=0
⇒(x−9)(x−36)=0
⇒x=9,x=36
When x=36, the age of father is 36 and the age of son is 9 years.
When x=36, the age of the father is 9 years and the age of the son is 36 years, which cannot be possible, so the present age of father is 36 years and that of the son is 9 years.
Step-by-step explanation:
Mark as Brainlist.
Answered by
3
Answer:
Bro you have already given the answer
Similar questions