Question

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

Answer 1

Answer:

x = 40

Step-by-step explanation:

(x × $\frac{1}{5}$ )+ 24 = $\frac{8}{10}$ × x

0.2x + 24 = 0.8x

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

24 = 0.6x

0.6x = 24

0.6x × $1\frac{2}{3}$ = 24 × $1\frac{2}{3}$

x = 40

Answer 2

Answer:

x=40

Step-by-step 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