Question

6. Four more than two-thirds of a number is twenty-two. Find the number.

Answer 1

Answer:

$\Huge \boxed{27}$

Step-by-step explanation:

Let the number be x.

$\frac{2}{3} x+4=22$

Solve for x.

Subtract 4 from both sides.

$\frac{2}{3} x+4-4=22-4$

$\frac{2}{3} x=18$

Multiply both sides by $\frac{3}{2}$.

$\frac{2}{3} x \cdot \frac{3}{2} =18 \cdot \frac{3}{2}$

$x=27$

The number is 27.

Answer 2

Answer:

27

Step-by-step explanation:

Let x be the number

2/3 x+4 = 22

Subtract 4 from each side

2/3x +4-4 = 22-4

2/3 x = 18

Multiply each side by 3/2

3/2 ( 2/3x) = 18 * 3/2

x = 27