SOLUTION: Hi, Can you help me with this problem? I don't quite understand how to do it... "The tens digit of a two-digit number is two more than twice the units digit. The sum of the digit

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Question 1022792: Hi,
Can you help me with this problem? I don't quite understand how to do it...
"The tens digit of a two-digit number is two more than twice the units digit. The sum of the digits is 11. Use a system of equations and elimination to find the number."
Thanks!
Found 4 solutions by rothauserc, Alan3354, LinnW, MathTherapy:
Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
let xy be the number
:
x = 2y + 2
:
x + y = 11
:
substitute for x in second equation
:
2y + 2 + y = 11
:
3y = 9
:
y = 3
x = 8
:
the number is 83
:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
"The tens digit of a two-digit number is two more than twice the units digit. The sum of the digits is 11. Use a system of equations and elimination to find the number."
-------------------
T = 2U + 2 --> T - 2U = 2
T + U = 11
----
T -2U = 2
T + U = 11
------------------- Subtract
-3U = -9
U = 3
---
T = 8
--> 83


Answer by LinnW(1048)   (Show Source): You can put this solution on YOUR website!
let T be the tens digit
and W be the ones digit
The number is of the form TW
T > 2 + 2W , tens digit is two more than twice the units digit
T + W = 11 , the sum of the digits is 11
Solve T + W = 11 for T
add -W to each side
T = 11 - W
Substitute ( 11 - W ) for T in T > 2 + 2W
11 - W > 2 + 2w
add W to each side
11 > 2 + 3W
add -2 to each side
9 > 3W
or 3W < 9
divide each side by 3
W < 3
From this we know that W is 0, 1 or 2
We also know that T = 11 - W
If W is 0, T = 11, but this cannot be since T is a single digit
If W is 1, T = 10, but this cannot be since T is a single digit
This means that W has to be 2
Since T = 11 - W , T = 9
So TW is 92
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

Hi,
Can you help me with this problem? I don't quite understand how to do it...
"The tens digit of a two-digit number is two more than twice the units digit. The sum of the digits is 11. Use a system of equations and elimination to find the number."
Thanks!
Number:  

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