Question

2/5 is subtracted from a number and the difference is multiplied by 4 . if 20 is added to the product and the sum is divided by 3 the resalt is equal to 10 find the number​

Answer 1

Answer:

x = 29/10 or 2.9

Step-by-step explanation:

let, x be the number

4(x - 2/5) + 20 = 10

3

4(5x - 2) + 20 = 10 × 3

5

20x - 8 = 30 - 20

5

20x - 8 = 10 × 5

20x = 50 + 8

x = 58/20

x = 29/10 or 2.9

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Answer 2

Given:

$\frac{2}{5}$ is subtracted from a number and the difference is multiplied by 4.

If 20 is added to the product and the sum is divided by 3 the result is equal to 10.

To find :

The number.

Solution:

Step 1 of 2:

Let 'x'  be the number

When subtracted  $\frac{2}{5}$  we get

x - $\frac{2}{5}$

Multiply by 4, we get

$(x-\frac{2}{5} )$ × 4

Adding 20, we get

$(x-\frac{2}{5} )$ × 4 + 20

Dividing by 3, we get

$\frac{(x-\frac{2}{5} (4)+20}{3}$

The result is equal to 10,

$\frac{(x-\frac{2}{5} )(4)+20}{3}$ = 10

Step 2 of 2:

$\frac{(x-\frac{2}{5} )(4)+20}{3}$ = 10

$\frac{(\frac{5x-2}{5} )(4)+20}{3}$ = 10

${(\frac{20x-8}{5} )+20}$ = 10 × 3

${\frac{20x-8}{5} }$ = 30 - 20

${\frac{20x-8}{5} }$ = 10

20x - 8 = 10 × 5

20x = 50 + 8

20x = 58

x = $\frac{58}{20}$

x = $\frac{29}{10}$

Final answer:

Therefore, the number is $\frac{29}{10}$.