AB = AK + KB
Let AB = 7x
Let KB = 3x + 5
Let AK = 27
7x = 27 + 3x + 5
Solve for x.
7x - 3x = 32
4x = 32
x = 32/4
x = 8
Wait it minute. The value of x is 8 but that is not the answer. We want KB.
KB is given to be 3x + 5.
Replace x with 8 and simplify.
KB = 3x + 5
KB = 3(8) + 5
KB = 24 + 5
KB = 29
Did you follow the logic?