♦Example Question♦
I am three times as old as my son. Five years layer, I shall be two and half times as old as my son. How old am I and how old is my son?
Please give me correct answer.
Answers
Step-by-step explanation:
Son's Present Age=X
Father's """" =3X
Five years later Son's age =X+5
Five years hence Fathers Age= 2.5(X+5) (given)
Also five years hence,father's age=3X+5
Compare,
2.5(X+5)=3X+5
2.5X+12.5=3X+5
12.5-5=3X-2.5X
7.5/0.5=X
15 years=X
Father's age=3X=3×15=45years
Answer:
Your present age is 45 years and your son's is 15 years.
Step-by-step explanation:
Suppose that your age is x years and your son's age is y years.
=> x = 3y __________(1)
Five years later,
your age will be (x + 5) years and your son's age will be (y + 5) years.
.°. x + 5 = 5/2 (y + 5) [Given]
=> 2x - 5y - 15 = 0 ________(2)
Putting x = 3y in equation (2), we get
6y - 5y - 15 = 0
=> y - 15
.°. y = 15
Putting y = 15 in equation (1), we get
x = 45
Hence, your present age is 45 years and your son's is 15 years.