The sum of two positive integers is 105 . The integers are in the ratio 2 : 3. Find the difference of the integers.
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sum of integers=105
ratio=2:3
sum of ratios = 2x+3x = 5x
sum of integers = sum of ratios
105= 5x
x= 105/5 = 21
first integer = 2x = 2(21) = 42
second integer = 3x = 3(21) = 63
difference = 63 - 42 = 24
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