Question

three friends all live on the same street that runs west to east. Beth lives 6 blocks from Al. Carol lives 2 blocks from Beth. If the street is represented by a number line and Al’s house is located at 0, what are the possible locations for Carol’s house?

Answer 1

Answer:2, -2, 6 or -6

Explanation:

Given,

The location of Ann's house in the number line = 0,

∵ Ben lives 4 blocks from Ann.

So, the possible location of Ben's house = 4 ( right of ann's house ) or - 4 ( left of ann's house )

Now, Carl lives 2 blocks from Ben,

So, the possible location of Carl's house

Case 1 : If Ben's house location is 4 = 2 ( left of ben's house ) or 6 ( right of ben's house )

Case 2 : If Ben's house location is -4 = -2 ( right of ben's house ) or -6 ( left of ben's house )