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Let the two numbers be represented by a and b. Then a + b = 74 a - b = 16..........therefore a = 16 + b Substituting for a in the first equation gives, (16 + b) + b = 74 2b = 74 - 16 = 58 b = 29 As a = 16 + b, then a = 16 + 29 = 45. The two numbers are 45 and 29...........of which the smaller number is 29.

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Q: What is the smaller of a number when the sum is 74 and the difference is 16?

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