(the short way)
180/3 = 60
60 + 60 + 60 = 180
then take 2 from the first and add 2 to the third gives
58 + 60 + 62 = 180
(the long way)
algebraically you need to find x,y,z such that
x + y + z = 180
since they are consecutive evens
y = x+2
z = y+2
= (x+2) +2 = x+4
180 = x+y+z = x+(x+2)+(x+4) = 3x +6
y = x+2 = 60
z = x+4 = 62
∴ 58 + 60 + 62 = 180 as above
Consider the minimum even number is x. then the next even number will be x+2 and the third will be x+4. As per your question, all these three should add upto 180. So, write the following statement
Now, x is the min. even number which is 58, so x+2 will be 60 and x+4 will be 62.
Bible and VD did it way more complicated than I did. I figured it had to group around 60 and came up with
58, 60 and 62.
This article contents is post by this website user, EduQnA.com doesn't promise its accuracy.
More Questions & Answers...