Question 756938: The sum of the digits of a two digit number is 10.if 36 is subtracted from the number the digits interchange their places.find the 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.if 36 is subtracted from the number the digits interchange their places.find the number?
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Let the number be 10t+u; t is the 10's digit; u is the units digit
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Equations:
t + u = 10
10t+u-36 = 10u+t
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Modify:
t + u = 10
9t-9u = 36
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Rearrange for elimination:
t + u = 10
t - u = 4
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Add to solve for "t":
2t = 14
t = 7
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Solve for "u":
t + u = 10
u = 3
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Ans: 10t+u = 73
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Cheers,
Stan H.
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