Question 670865: the sum of the digits of a certain two-digit number is 12. reversing its digits decreases the number by 54. find the number Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! the sum of the digits of a certain two-digit number is 12. reversing its digits decreases the number by 54. find the number
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Let the original number be 10t+u.
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Equation:
t + u = 12
10t+u - (10u+t) = 54
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t + u = 12
9t - 9u = 54
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t + u = 12
t - u = 6
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2t = 18
t = 9
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Solve for "u":
t + u = 12
9 + u = 12
u = 3
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Original Number: 10t+u = 93
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Cheers,
Stan H.
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