1.

Five year hence a man age will be there times the age of his son. Five year ago the man was seven times as old as his son. Find their present age?

Answer»

Let the present age of the man be x years

And His son's  be y years.  

1st Equation :-

After 5 years man’s age = x + 5  

After 5 years ago son’s age = y + 5  

As per the question  

⇒ x + 5 = 3(y + 5)

⇒ x – 3y = 10 ……………(i)  

2nd Equation

5 years ago man’s age = x – 5  

5 years ago son’s age = y – 5  

As per the question

⇒ x – 5 = 7(y – 5)

⇒ x – 7y = -30 …….(ii)

Subtracting (ii) from (i), we have  

⇒ 4y = 40  

⇒ y = 10  

Putting y value in Eq (i)

⇒ x – 3y = 10

⇒ x – 3 × 10 = 10  

⇒ x = 10 + 30

⇒ x = 40

Hence, man’s present age = 40 years and son’s present age = 10 years.


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