find three consecutive numbers such as the sum of twice the greatest number and thrice the least number is 584
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Answer:
116, 117, 118
Step-by-step explanation:
Let smallest of the three consecutive numbers be x.
The other two numbers will be x+1, x+2
2(x+2) + 3x = 584
2x + 4 + 3x = 584
5x = 584 - 4
5x = 580
x = 580/5
x = 116
The three numbers are x, x+1, x+2
∴ The numbers are 116, (116+1), 116+2)
= 116, 117, 118
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