Question

And equation and solve a number increased by four and then doubled is the same as 28 decreased by three times the number find the number

Answer 1

Given:

A number increased by four and then doubled is the same as 28 decreased by three times the number.

To find:

The unknown number.

Solution:

Let the unknown number be x.

The number increased by four = x+4

And then doubled = 2(x + 4)

Three times the number = 3x

28 decreased by three times the number = 28 - 3x

Now,

$2(x+4)=28-3x$

$2x+8=28-3x$

Isolate variable terms.

$2x+3x=28-8$

$5x=20$

Divide both sides by 5.

$x=\dfrac{20}{5}$

$x=4$

Therefore, the value of unknown number is 4.