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Question 272701: The units digit of a two-digit number exceeds the tens digit by 2. Find the number if it is 4 times the sum of it digits.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The units digit of a two-digit number exceeds the tens digit by 2. Find the number if it is 4 times the sum of it digits.
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Let the number be 10t+u where t is the tens and u is the units digit.
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Equations:
u = t+2
10t+u = 4(t+u)
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Simplify the 2nd equation:
6t = 3u
u = 2t
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Then t+2 = 2t
t = 2
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Since u = t+2, u = 4
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The number is 24
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Cheers,
Stan H.
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