Question

If one-sixth of a number plus one-third returns two-thirds of that number What is the number

Answer 1

Answer:

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

Step-by-step explanation:

Let the number be x

Given

$\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x$

Required

Find x

$\frac{1}{6}x + \frac{1}{3} = \frac{2}{3}x$

Collect Like Terms

$\frac{1}{6}x - \frac{2}{3}x = - \frac{1}{3}$

Take LCM

$\frac{1 - 4}{6}x = \frac{-1}{3}$

$\frac{- 3}{6}x = \frac{-1}{3}$

Multiply both sides by 6

$6 * \frac{- 3}{6}x = \frac{-1}{3} * 6$

$-3x= -2$

Divide both sides by -3

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

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

Hence, the number is $\frac{2}{3}$