The sum of the digits of a two digit number is 14. The difference between the tens digit and the units digit is 2. If x is the tens digit and y is the ones digit, which system of equations represents the word problem?

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Answer 1 · 2015-09-22T11:28:49

$x + y = 14$ $x+y=14$
$x - y = 2$ $x-y=2$
and (possibly) $Number = 10 x + y$ $"Number"=10x+y$

If $x$ $x$ and $y$ $y$ are two digits and we are told their sum is 14:

$x + y = 14$ $x+y=14$

If the difference between the tens digit $x$ $x$ and the unit digit $y$ $y$ is 2:

$x - y = 2$ $x-y=2$

If $x$ $x$ is the tens digit of a $Number$ $"Number"$ and $y$ $y$ is its units digit:

$Number = 10 x + y$ $"Number" = 10x+y$