Question

Four-thirds of a number is decreased by 12. The result is eight

Answer 1

The number is 15

Explanation:

x = a number

4/3 x - 12 = 8

Rearrange the equation so that the integers are on one side - in the format Ax = B

4/3 x - 12 = 8

4/3 x = 8 + 12

4/3 x = 20

Simplify the equation - in the format x = A - then solve for x

4/3 x = 20

4 x = 20 * 3

4 x = 60

x = 60 / 4

x = 15

Answer 2

`\large \bf \implies{A\: number\: is\:15}`

Explanation:

A number is x

then we have
`(4)/(3)`x - 12 = 8

`\bf \longrightarrow (4)/(3)x - 12 = 8 \\ \\ \bf \longrightarrow (4)/(3)x = 8 + 12 \\ \\ \bf \longrightarrow (4)/(3)x = 20 \\ \\ \bf \longrightarrow 4x = 20 * 3 \\ \\ \bf \longrightarrow4x = 60 \\ \\ \bf \longrightarrow x = \frac{ \cancel{60}}{ \cancel{4} } \\ \\ \bf \longrightarrow \: x = 15`

'Four thirds of the number is
`(4)/(3)x` then decreased by 12 is
`(4)/(3)x - 12` then gives the result 8. That is
`\bf(4)/(3)x - 12 = 8`'