Question 61953: The sum of two consecutive positive intergers is less than 92. Find the pair with the greatest sum. Found 3 solutions by checkley71, stanbon, joyofmath:Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website! X+(X+2)<92
2X+2<92
2X<92-2
X<90/2
X<45 Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website! The sum of two consecutive positive intergers is less than 92. Find the pair with the greatest sum.
Let the numbers be x and x+1
EQUATION:
x+x+1<92
2x+1<92
2x<91
If x is an integer 2x cannot be an odd number,
i.e. 2x cannot be 91.
So it must be 90 if the numbers are to have the greatest sum.
2x=90
x=45
x+1=46
The greatest sum is 91.
Cheers,
Stan H.