SOLUTION: The sum of the digits of a two digit number is 12. The tens digit is 2 less than the units digit. Find the number.

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Question 995362: The sum of the digits of a two digit number is 12. The tens digit is 2 less than the units digit. Find the number.

Found 2 solutions by rothauserc, addingup:
Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website!
we have the following equations
x1 + x2 = 12
x1 = x2-2
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substitute for x1 in first equation
x2-2 +x2 = 12
2x2 = 14
x2 = 7
x1 = 5
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the two digit number is 57

Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website!
10x+y= 12
10x= y-2 Let's go back to the first equation and plug in this value for 10x
y-2+y= 12 Add 2 on both sides and ys on left
2y= 14 Divide both sides by 2
y= 7
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The problem says:
10x= y-2 And now we say that y= 7, so 10x= 7-2= 5. Now back to the first equation with these values:
10(5)+7= 57 is your number.