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19 is the smaller number 31 is the larger

note the key words of 'sum' and 'difference' in the question

32 oops

now that we know ChrisV can give you an answer can we see how you might go about doing it?

so you can actually learn?

..just saying doing his hw won't help him on an exam.

a+b = 5, a= 51-b
a-b=13, a=13+b
13+b=51-b
2b=38
b=19

a+b=51 oops

better?