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=2#
and (possibly) #"Number"=10x+y#

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

#x+y=14#

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

#x-y=2#

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

#"Number" = 10x+y#