Social Studies
falaca
21

What is the smallest of 3 consecutive positive integers if the product of the smaller two integers is 5 less than 5 times the largest integer?

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(1) Answers
abbiepalacios

Lets call our integers: x, x+1 and x+2 the product of the smaller two integers is 5 less than 5 times the largest integer: this means x*(x+1) +5= (x+2)*5 taking things out of the brackets: x*x+x+5= 5x+10 putting everything on one side: x*x+x -5x +5-10= 0 calculating: x*x+-4x -5= 0 we can put it into brackets: (x+1)*(x-5)=0 So we have x=-1 (which can't be, it has to be positive) or x=5, which is the answer!

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