Question

What is one-fifth of a number, x, increased by 24 is equal to eight tenths of the same number, x.

Answer 1

x=40

Explanation:

1/5x+24=8/10x

give like denominators

2/10x+24=8/10x

subtract 2/10x on both sides

24=6/10x

divide 24 by 6/10, or multiply by 10/6

x=240/6

refine/simplify

x=40

Answer 2

x = 40

Explanation:

(x ×
`(1)/(5)` )+ 24 =
`(8)/(10)` × x

0.2x + 24 = 0.8x

0.2x - 0.2x + 24 = 0.8x - 0.2x

24 = 0.6x

0.6x = 24

0.6x ×
`1(2)/(3)` = 24 ×
`1(2)/(3)`

x = 40