Question

a certain number was increased by 5 then decreased by 3 than halved the result was 0.3 less than the original number

Answer 1

Answer:

$\large \boxed{2.6}$

Step-by-step explanation:

         Let x = the number

Then x + 5 = the number increased by 5

    x + 5 - 3 = then decreased by 3

½(x + 5 - 3) = then halved

      x - 0.3 = 0.3 less than the number

$\begin{array}{rcl}\frac{1}{2}(x + 5 - 3) & = & x - 0.3\\\frac{1}{2}(x + 2) & = & x - 0.3\\x + 2 & = & 2x - 0.6\\x + 2.6 & = & 2x\\x & = &\mathbf{2.6}\\\end{array}\\\text{The number is \large \boxed{\mathbf{2.6}} }$

Check:

½(2.6 + 5 - 3) = 2.6 - 0.3

          ½(4.6) = 2.3

               2.3 = 2.3

OK.

Answer 2

Answer: 20

Step-by-step explanation: