Andrew thinks of Four consecutive numbers.The sum of the first 3 numbers is 100 more than the fourth number.What is the sum of these four consecutive numbers ?
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
Four consecutive number can be written as
a , a + 1 , a + 2 , a + 3
Since the sum of the first three is 1 0 0 more than the last one we can say that
a + ( a + 1 ) + ( a + 2 ) = ( a + 3 ) + 1 0 0
This simplifies down to
3 a + 3 = a + 1 0 3
Re-arranging this gives us a value for a
a = 5 0
So the sum of the four numbers comes to
5 0 + 5 1 + 5 2 + 5 3 = 2 0 6