Verified Answer :

x - the number

\(\dfrac{2}{3}x+4=7\ \ \ |subtract\ 4\ from\ both\ sides\\\\\dfrac{2}{3}x=3\ \ \ \ |multiply\ both\ sides\ by\ \dfrac{3}{2}\\\\x=\dfrac{9}{2}\\\\\boxed{x=4.5}\)

Answer:

\(\frac{2*x}{3}\) + 4 = 7.

Number  = 4 .5

Step-by-step explanation:

Given  : Two-thirds a number plus 4 is 7.

To find : Expression .

Solution : We have given Two-thirds a number plus 4 is 7.

Let the number = x .

According to question :

Two-thirds a number = \(\frac{2*x}{3}\).

Two-thirds a number plus 4 is 7.

\(\frac{2*x}{3}\) + 4 = 7.

On subtracting 4 from both sides .

\(\frac{2*x}{3}\) = 7 - 4 .

\(\frac{2*x}{3}\) = 3 .

On multiplying both sides by 3 .

2x = 3 *3 .

2x = 9.

On dividing both sides by 2 .

x = 4 .5

Therefore,  \(\frac{2*x}{3}\) + 4 = 7.

Number  = 4 .5