SOLUTION: The units digit of a two-digit number is twice of the tens digit. Find the two digit number, If the value are interchanged, it is equal to 9 more than the original number. Pleas

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Question 493969: The units digit of a two-digit number is twice of the tens digit. Find the two digit number, If the value are interchanged, it is equal to 9 more than the original number.
Please help me what's the answer

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The units digit of a two-digit number is twice of the tens digit. Find the two digit number, If the value are interchanged, it is equal to 9 more than the original number.
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Let the number be 10t + u
where t is the ten's digit and u is the unit's digit.
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Equation:
u = 2t
10u+t = 10t+u+9
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9u -9t = 9
Divide thru by 9 to get:
u - t = 1
Substitute for "u" and solve for "t":
2t-t = 1
t = 1
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solve for "u"
u = 2t
u = 2
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The original number is 12
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Cheers,
Stan H.
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