SOLUTION: solve algebraically using only one variable: find three consecutive even integers such that the product of the first integer and the third integer is equal to four less than ten ti

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Question 228530: solve algebraically using only one variable: find three consecutive even integers such that the product of the first integer and the third integer is equal to four less than ten times the second integer.
Answer by mangeshpjoshi(15) About Me  (Show Source):
You can put this solution on YOUR website!
dear student,
let three consecutive even no are
x and x+2 and x+4 as difference between every 2 concutive no is 2
x *(x+4)=10(x+2)-4
as per given instruction
solving
x^2+4x=10x+20-4
x^2+4x-10x=16
x^2-6x-16=0
x(x-8)+2(x-8)=0
(x-8)(x+2)=0
x=8 or x=-2 impossible as even no
so x=8 is the correct answer
no are 8, 10, 12.....
thanks
faithfully
mangesh joshi