SOLUTION: The tens digit of a two digit number is three less than the units digit. If two were added to the number, the result would be seven times the units' digit. What is the number?

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Question 279285: The tens digit of a two digit number is three less than the units digit. If two were added to the number, the result would be seven times the units' digit. What is the number?
Found 2 solutions by JBarnum, Stitch:
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
wow that is a mouthful take it line by line first
tens digit=T
units digit=U
t=u-3
n=u%2Bt
2%2Bn=7u
2%2Bu%2Bt=7u substitute and solve
2%2Bu%2Bu-3=7u
2u-1=7u
-1=5u
but -1/5 cant = u so after doing guess and check there are still no numbers that they could be to fit the above question so this question is IMPOSSIBLE.

Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
The Set-Up
----------------
Let A = 10's Digit
Let B = 1's Digit
Equation 1: N+=+10A+%2B+B
Equation 2: A+=+B+-+3
Equation 3: N+%2B+2+=+7B
Solution:
-----------------
Solve equation 3 for N
Equation 3: N+%2B+2+=+7B
N+=+7B+-+2
Now substitute this and equation 2 into equation 1
Equation 1: N+=+10A+%2B+B
7B+-+2+=+10%2A%28B-3%29+%2B+B Simplify
7B+-+2+=+10B+-+30+%2B+B
7B+-+2+=+11B+-+30 Subtract 7B from both sides
-2+=+4B+-+30 Add 30 to both sides
28+=+4B Divide both sides by 4
highlight%287+=+B%29
Now plug 7 into equation 2 for B
Equation 2: A+=+B+-+3
A+=+7+-+3
highlight%28A+=+4%29
Now substitute the values into equation 1
N+=+10A+%2B+B
N+=+10%2A%284%29+%2B+7
N+=+40+%2B+7
highlight%28N+=+47%29