46 people showed up to the party. There were 8 less men than women present. How many men were there?

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46 people showed up to the party. There were 8 less men than women present. How many men were there?

Let the number of men be m. Let the number of women be w. We're given two equations:

1. m = w - 8 (8 less men than women)
2. m + w = 46 (46 showed up to the party)

Substitute equation (1) into equation (2) for m:
w - 8 + w = 46

To solve for w in this equation, we type in the equation into our search engine and we get:
w = 27

To solve for men (m), we substitute w = 27 into equation (1):
m = 27 - 8
m = 19