Question 157319: Find three consecutive even integers such that the product of five and the third integer is four more than two times the sum of the first two numbers.
Answer by atique.ah(27)   (Show Source):
You can put this solution on YOUR website! Find three consecutive even integers such that the product of five and the third integer is four more than two times the sum of the first two numbers.
Solution:
Let the first intiger=x
The second intiger =x+2
The third intiger =x+4
(the difference between two consecutive integer is 2 eg 2,4,6,8,.....)
five time the third intiger=5(x+4)
two time the sum of first two intiger=2{(x+2)+(x+4)}=2{2x+6}=4x+12
According to the given condition
5(x+4)-4=4x+12
5x+20-4=4x+12
5x+16=4x+12
5x-4x=12-16
x=-4
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