SOLUTION: The tens digit of a certain two digit number exceeds the units digit by 3. The sum of the digits is 1/7 of the number. Find the number.
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Question 128548: The tens digit of a certain two digit number exceeds the units digit by 3. The sum of the digits is 1/7 of the number. Find the number.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The tens digit of a certain two digit number exceeds the units digit by 3. The sum of the digits is 1/7 of the number. Find the number.
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Let the number be 10t+u where t is the tens digit and u is the units digit.
EQUATION:
t=u+3
t+u = (1/7)(10t+u)
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Rearrange:
t = u+3
7t + 7u = 10t+u
3t=6u
t = 2u
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2u = u+3
u = 3 (the units digit)
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t = u+3 = 3+3 = 6 (the tens digit)
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Number = 63
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Cheers,
San H.
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Substitute to solve for "u":
7(u+3)-6u = 0
u =
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