SOLUTION: the difference of two numbers is 5 and the difference of their squares is 136. the sum of the numbers is what?
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Question 350068: the difference of two numbers is 5 and the difference of their squares is 136. the sum of the numbers is what?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
X-Y=5 OR X=Y+5
X^2-Y^2=136
(Y+5)^2-Y^2=136
(Y^2+10Y+25)-Y^2=136
10Y=136-25
10Y=111
Y=111/10
Y=11.1 ans.
X=11.1+5=16.1 ANS.
PROOF:
16.1^2-11.1^2=136
259.21-123.21=136
136=136
X+Y=16.1+11.1=27.2 ANSWER.
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