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If person P is three times as old as his son. Also, five years from now he will be two and a half times as old as his son. How old is P and how old is P's son?

If person P is three times as old as his son. Also, five years from now he will be two and a half times as old as his son. How old is P and how old is P's son?

Solutions

Expert Solution

Solution:

If x & y are respective ages of P and his son. Then from question:

                       x = 3y                  - Eq. I

Five years from now, from question relation will be:

x+5 = 2 . 1/2 (y+5)

x+5 = 5/2 (y+5) 

2 (x+5) = 5(y+5)

2x+10 = 5y+25 

2x - 5y = 25-10

                  2x - 5y = 15              - Eq. II

Substitute value of x from Eq. I in Eq. II

2(3y) - 5y = 15

6y - 5y = 15

y = 15

Substitute y = 15 in Eq. I

x = 3(15) = 45

So, P is 45 years old and his son is 15. 

 

 

P is 45 years old and his son is 15.

Shams answered 1 year ago
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