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The club has 56 old men.

Let x = number of old men

Then x-16 = number of young men (the old men outnumber the young men by 16)

7x = 9(x-16) +32 (7 times the # old men is 32 more than 9 times the # young men)

7x = 9x - 144 + 32

7x = 9x - 112

7x + 112 = 9x - 112 + 112

7x + 112 = 9x

7x - 7x + 112 = 9x - 7x

112 = 2x

56 = x (the # of old men)

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Q: The old men in the club outnumber the young men by 16 Seven times the number of old men exceeds 9 times the number of young men by 32 How many old men does the club have?
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