SOLUTION: The sum of three consecutive integers is 15 more than twice the smallest integer. Find the integers.

Question 911148: The sum of three consecutive integers is 15 more than twice the smallest integer. Find the integers.
Found 2 solutions by dkppathak, DN:
Answer by dkppathak(439) (Show Source): You can put this solution on YOUR website!
The sum of three consecutive integers is 15 more than twice the smallest integer. Find the integers.
Let three consecutive numbers are X ,X+1,X+2
as per given conditions
X+X+1+X+2=2X+15
3X+3=2x+15
3X-2X=15-3
X=12
Numbers are X,X+1,X+2
than three numbers are 12,13,14
Answer by DN(2) (Show Source): You can put this solution on YOUR website!
Let x be any integer.Then x, x+1, x+2 are three consecutive integers and x is the smallest of the three.
then x+(x+1)+(x+2)=2x+15
=> x+x+1+x+2 =2x+15
=> x+x+x+1+2 =2x+15
=> 3x+3 =2x+15
=> 3x-2x =15-3
=> x =12
Therefore, 12, 13, 14 are the integers

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