Jim solved a certain number of problems. Brenda solved 2 more than twice as many. Together they solved 38. How many problems did Brenda solve?

26

Step-by-step explanation:

Had Brenda solved 2 fewer, their total would have been 36, and Brenda would have solved 2/3 of that number. (Jim solved 1/3 of that number.)

So, Brenda solved (2/3) ·36 + 2 = 24 + 2 = 26 problems.

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Jim solved 12.

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Check: 2·12 + 2 = 26; 12 + 26 = 38.