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Answer:

Luke worked 7 hours and Joshua worked 4 hours

Explanation:

Let's call the number of hours that Luke worked l, and the number of hours that Joshua worked j. Since we know that Luke worked for 3 more hours than Joshua, we can express the amount of hours he worked as (j+3). Now, you can set up the following equation:

25j+35(j+3)=345

Expand parentheses:

25j+35j+105=345

Subtract 105 from both sides and combine like terms:

60j=240

j=4

Since Luke worked 3 more hours, he worked 7 hours. Hope this helps!

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