Answer
Answer:
Number = -3
Work Step by Step
Let the number be $\rightarrow$ x
Thus twice that number added to three = 2x + 3
Number plus 1 = x + 1.
Three halves = $\frac{1}{2}$ + $\frac{1}{2}$ + $\frac{1}{2}$ = $\frac{3}{2}$
Given :
$\frac{(2x + 3)}{(x + 1)}$ = $\frac{3}{2}$
Thus,
2(2x + 3) = 3(x + 1)
4x + 6 = 3x + 3
4x - 3x + 6 - 6= 3x - 3x + 3 - 6 .....( Subtract 3x and 6 on both sides)
4x - 3x = 3 - 6
x = -3
