Question

Two-thirds a number plus 4 is 7

Answer 1

x - the number


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

Answer 2

`(2*x)/(3)` + 4 = 7.

Number = 4 .5

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 =
`(2*x)/(3)`.

Two-thirds a number plus 4 is 7.

`(2*x)/(3)` + 4 = 7.

On subtracting 4 from both sides .

`(2*x)/(3)` = 7 - 4 .

`(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,
`(2*x)/(3)` + 4 = 7.

Number = 4 .5