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Let the two numbers be P and Q. So P+Q = 34. P-Q = 18. Add these two equations together:

2P = 52. --> P = 26. Substitute into one of the original equations: P+Q=34 --> Q=34-26=8. The numbers are 26 and 8. Check to make sure: 26+8=34. 26-8=18

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Q: The sum of the two numbers is 34 The difference of two numbers is 18 what are the two numbers?
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