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s + g = 80, so s = 80 - g; 8s = 3g + 24;

8(80 - g) = 3g + 24

ie 640 - 8g = 3g + 24

Add 8g to each side: 640 = 11g + 24

Subtract 24 from each side: 616 = 11g

Divide each side by 11: 56 = g

The numbers are 24 & 56

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Q: Separate 80 into 2 parts so that 8 times the smaller part is equal to 24 more than 3 times the larger part?
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