high school algebra question

• Mar 10th 2010, 01:35 AM
high school algebra question
Hey guys,

Having a bit of trouble with this question.
Any help would be greatly appreciated.
Cheers.

Can you add four consecutive whole numbers (e.g., 7, 8, 9, 10) to produce a
• Mar 10th 2010, 02:03 AM
HallsofIvy
Alright! High school algebra- one I just might be able to do!

The key word here is consecutive. Let x be the smallest of the four numbers. Then the other three are x+ 1, x+ 2, and x+ 3. Add x+ (x+1)+ (x+ 2)+ (x+ 3). What do you get? What does x have to be for that to be a multiple of 4?
• Mar 10th 2010, 02:33 AM
MarNie
but than it isn't solved yet right?
Or I am I wrong
• Mar 10th 2010, 02:58 AM
MarNie
anyway good set up for the answer, Because it has been a while for me but I like those puzzles.
am I right that if you simplify it to
4x+6=4y
and assume that x and y both have to be whole numbers
• Mar 10th 2010, 03:54 AM
yeah i thought of the same start..

x + (x+1) +(x+2)+(x+3) = what?

4x + 6 = what?
• Mar 10th 2010, 04:01 AM
MarNie
4x+6=4y (4y because it has to be multiplied by 4)

now try to simplify this one as well, so you don't have any whole number on the right hand of the equation

x+6/4=y

Still assuming that x and y have to be whole numbers.....
• Mar 10th 2010, 04:05 AM