SOLUTION: The sum of two digits number is 12. The tens digit in two more than the unit digit . Find the number

Question 1012839: The sum of two digits number is 12. The tens digit in two more than the unit digit . Find the number

Found 3 solutions by ikleyn, macston, fractalier:
Answer by ikleyn(52800)   (Show Source): You can put this solution on YOUR website!
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75.

You can quickly try all the numbers from 1 to 9 with the sum of 12.

It is faster than to write and to solve an equation.

Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
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N=units digit; T=tens digit
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T=N+2
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T+N=12
(N-2)+N=12
2N=10
N=5
ANSWER 1: The units digit is 5.
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T=N+2=5+2=7
ANSWER 2: The tens digit is 7
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ANSWER: The number is 75.
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Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
One can guess at it, but if we call the tens digit x and the ones digit y we have
x + y = 12
x = y + 2 or x - y = 2
Now add them together and get
x + y = 12
x - y = 2
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2x = 14
x = 7
y = 5
75 is your number.
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