Q:

Three friends all live on the same street that runs west to east. Ben lives 4 blocks from Ann. Carl lives 2 blocks from Ben. If the street is represented by a number line and Ann​'s house is located at​ 0, what are the possible locations for Carl​'s ​house?

Accepted Solution

A:
Answer:The possible locations are,2, -2, 6 or -6Step-by-step 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 houseCase 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 )