SOLUTION: five years ago akbar was 8 times as old as his son ten years later he will be three times as old as his son what is akbars present age?

Question 1124631: five years ago akbar was 8 times as old as his son ten years later he will be three times as old as his son what is akbars present age?
Answer by ikleyn(52779) (Show Source): You can put this solution on YOUR website!
.

X - 5 = 8*(Y-5)       (1)   (X= Akbar; Y= son)
X+10 = 3*(Y+10)       (2)


=========>  X = X,   or  8*(Y-5)+5 = 3*(Y+10) - 10


8Y - 40 + 5 = 3Y + 30 - 10


8Y - 3Y = 30 - 10 + 40 - 5 


5Y = 55  ====>  Y = 55/5 = 11.


Then Akbar is  X = 3*(Y+10) - 10 = 3*(11+10) - 10 = 53.


Answer.  Akbar is 53 years old.

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