Question

Three more than two-thirds of a number is the same as 1 less than twice the number. Let x be the number. Write and solve the equation to find x. You only need to enter the answer for x NOT the equation

Answer 1

x = 3

Explanation:

We know that

`(2)/(3)`× + 3 = 2× - 1

Next, solve for x

2x -
`(2)/(3)`× = 3 + 1

`(4)/(3) x`
`= 4`

`x = 4 * 3 / 4 = 3`

Here is it simpler

2/3 of 3 = 2 + 3 = 5 (3 more = + 3) (2/3 of 3 = two-thirds of a number)

is the same as

(3 * 2) - 1 = 5 (twice the number = 3 * 2) (1 less than = - 1)