Math, asked by malavikasreekanth12, 5 days ago

find three consecutive numbers such as the sum of twice the greatest number and thrice the least number is 584

Answers

Answered by HemankGupta
1

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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