Well, honey, if you paid attention in math class, you'd know that the two numbers are 20 and 15. They add up to 35 and the difference between them is 5. So, there you have it, simple arithmetic for the win!
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10 and 25
Well, you fulfilled one of two criteria. Try these two below to fulfill both criteria.
20 and 15
29 & 35
16 and 35
65 and 35
a + b = 35 a - b = 11 2b + 11 = 35 2b = 24 b = 12 a = 23
The numbers are 18 and -17 because 18-(-17) = 35 and 18+(-17) = 1