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Find 3 consecutive integers such that 3 times the third is equal to the sum of the first and second..how do I solve this?

 Dec 13, 2014

Best Answer 

 #1
avatar+130511 
+5

So, let the integers be n, n+1 and n+2......and we have

3(n+2)  = n + n + 1

3n + 6  = 2n + 1   subtract 2n, 6 from both sides

n = -5

n+ 1 = -4

n + 2  = -3

 

Check

3(-3)  = -5 + -4

-9 = -9

 

 Dec 13, 2014
 #1
avatar+130511 
+5
Best Answer

So, let the integers be n, n+1 and n+2......and we have

3(n+2)  = n + n + 1

3n + 6  = 2n + 1   subtract 2n, 6 from both sides

n = -5

n+ 1 = -4

n + 2  = -3

 

Check

3(-3)  = -5 + -4

-9 = -9

 

CPhill Dec 13, 2014

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