SOLUTION: the sum of the digits of a two digit number is 10.the number formed by reversing the digit is 4 less than 5 times the original number. find the original number
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Question 607414: the sum of the digits of a two digit number is 10.the number formed by reversing the digit is 4 less than 5 times the original number. find the original number Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! the sum of the digits of a two digit number is 10.the number formed by reversing the digit is 4 less than 5 times the original number. find the original number
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Original number: 10t+u
Reversed number: 10u+t
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Equations:
t + u = 10
10u+t = 5(10t+u)-4
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Substitue for "t" and solve for "u":
10u + 10-u = 5(10(10-u)+u)-4
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9u + 10 = 5(100-9u)-4
9u + 10 = 500-45u-4
9u + 10 = 496-45u
54u = 486
u = 9
Then t = 1
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Original number:
10t + u = 19
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Cheers,
Stan H.
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