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Answer:
7, 8, and 9
Step-by-step explanation:
Three consecutive integers in increasing order are a-1, a, a+1.
(a-1 is the predecessor of a, a+1 is the successor of a.)
- They are multiplied by 2, 3, and 4 respectively.
→ 2(a-1)+3a+4(a+1)
→ 2a-2+3a+4a+4
→ 9a+2
- They add up to 74.
→ 9a+2=74
→ 9a=72
→ a=8
∴a-1, a, a+1 are 7, 8, and 9 respectively.
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