SOLUTION: Good evening ma'am or sir. Would you please help me in solving this word problem: 1). The tens' digit of a two-digit number is on more than the units' digit. If the number is divi

Question 116309: Good evening ma'am or sir. Would you please help me in solving this word problem:
1). The tens' digit of a two-digit number is on more than the units' digit. If the number is divided by the sum of the digits, the quotient is equal to seven. What is the number? Thank you ma'am or sir for your generosity.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The tens' digit of a two-digit number is on more than the units' digit. If the number is divided by the sum of the digits, the quotient is equal to seven. What is the number?
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Let the number be 10t+u where t is the ten digit and u is the unit digit.
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EQUATIONS:
t = u + 1.
(10t+u)/(t+u) = 7
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Substitue and solve for "u":
(10(u+1)+u)/(u+1+u) = 7
(11u+10)/(2u+1) = 7
11u+10 = 14u+7
3u = 3
u = 1
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Substitute to solve for "t":
t = u+1 = 2
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The number is 21
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Cheers,
Stan H.

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