Question

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?

Answer 1

Answer:

The possible locations are,

2, -2, 6 or -6

Step-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 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 )

Answer 2

The possible locations of Carl's house are - 6, 6, 2 or - 2

Let :

Ben's location = B

Carl's position = C

Ann's position = A

Using the Number line illustration :

Ann's position = 0

Ben's possible positions :

• 4 blocks(units) from Ann = ± 4

Carl's location :

• 2 blocks from Ben
• -4 ± 2 = (-4 - 2) or (-4 + 2) = - 6 or - 2
• +4 ± 2 = (4 + 2) or (4 - 2) = 6 or 2

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