SOLUTION: Two numbers differ by 5. Their squares differ by 55. What are the two numbers?
Please show me how you get the answer 3 and 8. Thanks!!!
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Question 44261: Two numbers differ by 5. Their squares differ by 55. What are the two numbers?
Please show me how you get the answer 3 and 8. Thanks!!!
Answer by adamchapman(301) (Show Source): You can put this solution on YOUR website!
Let the two numbers be called "x" and "y".
The numbers differ by 5:
.........................(i)
Rearange equation (i) to give x in terms of y:
.........................(ii)
Their squares differ by 55:
....................(iii)
Substitute equation (ii) into equation (iii) for x:
substitute "y=3" into equation (ii) to give:
So x=8 and y=3
I hope this helps.
P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would e-mail me some feedback on the help you received to adam.chapman@student.manchester.ac.uk
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