Question

What is the value of MB between A and B?

Answer 1

MB = 26

Explanation:

AM = 2x - 3

MB = 5x + 1

AB = 21 - (-12)

= 21 + 12

= 33

According to the question M is between A and B. So,

`\rm \longrightarrow AB = AM + MB \\ \\ \rm \longrightarrow 33 = (2x - 3) + (5x + 1) \\ \\ \rm \longrightarrow 2x - 3 + 5x + 1 = 33 \\ \\ \rm \longrightarrow (2x + 5x) + (1 - 3) = 33 \\ \\ \rm \longrightarrow 7x - 2 = 33 \\ \\ \rm \longrightarrow 7x - 2 + 2 = 33 + 2 \\ \\ \rm \longrightarrow 7x = 35 \\ \\ \rm \longrightarrow (7)/(7) x = (35)/(7) \\ \\ \rm \longrightarrow x = 5`

`\therefore` Value of MB = 5 × 5 + 1

= 25 + 1

= 26