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Question 170804: I have two secret numbers. Each has two digits. The secret numbers have the same digits, only reversed. The difference between the two numbers is 54, and the sum of the digits in each number is 10. what are my two secret numbers?
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! I have two secret numbers. Each has two digits. The secret numbers have the same digits, only reversed. The difference between the two numbers is 54, and the sum of the digits in each number is 10. what are my two secret numbers?
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1st number: 10t+u
2nd number: 10u+t
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EQUATIONS:
10t+u - (10u+t) = 54
t + u = 10
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t + u = 10
9t-9u = 54
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t + u = 10
t - u = 6
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2t = 16
t = 8; so u = 2
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1st number: 82
2nd number: 28
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Cheers,
stan H.
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