Brain Teasers
3 More Integers
What are the only three consecutive numbers that when all are added, the sum equals double the last integer?
Hint
x + y + z = 2zAnswer
1, 2, and 3!Hide Hint Show Hint Hide Answer Show Answer
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Comments
great teaser. a little on the easy side, but still good.
Very easy!
easy enough, but the hint doesn't help too much. either the concept is understood or its not, but that leaves 3 variables in 1 equation, and actually, it IS possible to put in one equation. 3 consecutive integers means x, x+1, x+2
x+ (x+1) + (x+2) = 2(x+2)
3x+3 = 2x+4
x+3=4
x=1
x+1=2
x+2=3
x+ (x+1) + (x+2) = 2(x+2)
3x+3 = 2x+4
x+3=4
x=1
x+1=2
x+2=3
May 08, 2007
Yu dont even nd 2 use an equation 2 solv dis 1, its simpl logic n bein sytematic
even i got dat n i suk @ maths lolz
even i got dat n i suk @ maths lolz
Easy!
That was a bit too easy
WOW! that was the only teaser that i actualy got right!! and i dont even know what an intiger~majigi is! i guess im smart!
Lol that was ezay!!!1+2=3!!! Whoo!!!Bet a 6 year old could figure dis out!But kool question dude!
This is the pretty much the same as your first three integers teaser.
Your first teaser wanted x + y = z
This wanted x + y + z = 2z (subtract z from each side of the equation, and you leave the first one again!)
Your first teaser wanted x + y = z
This wanted x + y + z = 2z (subtract z from each side of the equation, and you leave the first one again!)
You know that your answer is not completely true, because if you took the negatives of the numbers (you never did specify if it had to be positive), you could solve it that way too.
Pissfer, You are wrong. The given answer is the only solution. you are correct if you use your sequence of negative integers -1,-2,and-3. But their proper consecutive order falls into
...-4,-3,-2,-1,0,1,2,3...
So the last digit (-1) x 2 does not equal -6. The algebra listed in a previous comment gives a unique solution. Math works.
...-4,-3,-2,-1,0,1,2,3...
So the last digit (-1) x 2 does not equal -6. The algebra listed in a previous comment gives a unique solution. Math works.
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