Question

Please look at the attachment and answer my question :(

Answer 1

AB / BC = 2 / 3

A equals 9 and C = 13

AC = 13 - 9 = 4

AB + BC = 13

A) AB + BC = 4

B) AB / BC = 2/3 Therefore BC = AB / (2/3)

B) BC = 1.5 AB

A) BC = 4 - A/B

Multiplying equation A) by -1

A) -BC = -4 + AB then we add equation B)

B) BC = 1.5 AB then adding both equations

0 = 2.5 AB -4

2.5 AB = 4

AB = 1.6

Since A = 9 then the number at B is 9 + 1.6

equals 10.6

Explanation:

Answer 2

• The number at B is 10.6

Explanation:

Let the number at B be x.

We know that distance between two points on the number line is the absolute value of the difference of numbers at those points.

Then distances representing the lengths of segments AB and BC are:

• AB = x - 9
• BC = 13 - x

We are given the ratio of segments:

• AB/BC = 2/3

Substitute and solve for x:

• (x - 9)/(13 - x) = 2/3
• 3(x - 9) = 2(13 - x)
• 3x - 27 = 26 - 2x
• 3x + 2x = 26 + 27
• 5x = 53
• x = 53/5
• x = 10.6