Translate....Twice the difference between a number and twenty five is three times the number... into an equation and solve

Respuesta :

Answer:

The required equation is [tex]\[2 \times(x-25) = 3x\][/tex] and the number is -50

Step-by-step explanation:

Let the number be represented by x.

Then the difference between the number and 25 is given by [tex]\[x-25\][/tex]

Twice the difference between the number and 25 is given by [tex]\[2 \times(x-25)\][/tex]

So the required equation becomes:

[tex]\[2 \times(x-25) = 3x\][/tex]

Solving,

[tex]\[2x-50=3x\][/tex]

[tex]\[=>3x-2x=-50\][/tex]

[tex]\[=>x=-50\][/tex]