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Liono4ka [1.6K]
3 years ago
12

Find three consecutive integers such that three times The largest increased by two is equal to five times the smallest increased

by three times the middle integer
Mathematics
1 answer:
rosijanka [135]3 years ago
7 0
a,a+1,a+2-\ three\ consecutve\ integers\\\\
3*(a+2)+2=5*(a+3)+3(a+1)\\\\
3a+6+2=5a+15+3a+3\\\\
3a+8=8a+18\ \ \ | subtract\ 3a\\\\
8=5a+18\ \ \ \ | subtract\ 18\\\\
-10=5a\ \ \ \ | divide\ by\ 5\\\\
a=-2\\\\Numbers\ are:\ \ -2,-1,0

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