SOLUTION: the difference in the ages of two brother is 6 years.if after two years the product of their ages will be 280 find their present age
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Question 991055: the difference in the ages of two brother is 6 years.if after two years the product of their ages will be 280 find their present age
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
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Answer. 20 and 14 after 2 years; correspondingly, 18 and 12 is present age now.
The tip: after two years the difference in their ages will be the same, 6 years.
Let x and y are their ages after 2 years. Then you have the system
.
Express x from the first equation, x = y+6, and substitute it into the second equation. You will get
(y+6)*y = 280,
+ - = .
The roots are 14 and -20.
Only positive root suits the condition.
Next, take off 2 years.
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