SOLUTION: The sum of two digits is 8. If the digits of the number are reversed, the number formed is 36 more than the number. What is the number?
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Question 118268: The sum of two digits is 8. If the digits of the number are reversed, the number formed is 36 more than the number. What is the number? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The sum of two digits is 8. If the digits of the number are reversed, the number formed is 36 more than the number. What is the number?
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Let the number be 10t+u where t is the tens digit and u is the units digit.
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EQUATIONS:
t+u = 8
10u+t = 10t+u +36
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Rearrange:
t+u=8
9u=9t+36
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Simplify
t+u=8
t-u=-4
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Add to solve for "t":
2t = 4
t = 2 (tens digit of the original number)
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Substitute to solve for "U"
2+u = 8
u = 6 (units digit of the original number)
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Original number: 26
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Cheers,
Stan H.
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