Answer:
The original number is 11.3
Step-by-step explanation:
Let the number is x and then we form the equation to solve it for the value of x.
1- Number is multiplied by 2.5 then it becomes = 2.5x
2- Then we add 1.75 to the expression then new expression will be = 2.5x + 1.75
3- We divide the result by 0.8 then expression will be = [tex]\frac{2.5x + 1.75}{0.8}[/tex]
4- Now the final expression is equal to 37.5 so the equation will be
[tex]\frac{2.5x + 1.75}{0.8}[/tex] = 37.5
Now we multiply 0.8 in both the sides of the equation
[tex]\frac{2.5x + 1.75}{0.8}[/tex]×0.8 = 37.5×0.8
2.5x + 1.75 = 30
2.5x = 30 - 1.75
2.5x = 28.25
x = 28.25/2.5 = 11.3
