Question

A 20 meter long wire is expressed in

two parts such that the length of one

part is 2/3 times the length of the

other part. So what is the length of

the long piece?​

Answer 1

The total length of wire is 20 m

Let, the length of longer part of wire be 'x' m.

so,

shorter part will be 2/3 x

$x + \frac{2}{3} x = 20 \\ \\ 3x + 2x = 60 \\ \\ 5x = 60 \\ \\ x = 12$

So, lemgth of the longer piece of wire will be 12 cm

Answer 2

The length of the long piece = 12 meter

Given :

A 20 meter long wire is expressed in two parts such that the length of one part is 2/3 times the length of the other part

To find :

The length of the long piece

Solution :

Step 1 of 2 :

Form the equation to find the length of the long piece

A 20 meter long wire is expressed in two parts

Let the two parts are x meter and (20 - x) meter

So by the given condition

$\displaystyle \sf x = \frac{2}{3} \times (20 - x)$

Step 2 of 2 :

Calculate length of the long piece

$\displaystyle \sf x = \frac{2}{3} \times (20 - x)$

$\displaystyle \sf{ \implies }x = \frac{2(20 - x)}{3}$

$\displaystyle \sf{ \implies }3x = 40 - 2x$

$\displaystyle \sf{ \implies }3x + 2x = 40$

$\displaystyle \sf{ \implies }5x = 40$

$\displaystyle \sf{ \implies }x = \frac{40}{5}$

$\displaystyle \sf{ \implies }x = 8$

∴ The two parts are 8 meter and 12 meter

Hence length of the long piece = 12 meter

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If p- 5 gives 12 then p is _____

https://brainly.in/question/22500317

2. A number when subtracted from 40 results into 15. This statement in the form of an equation

https://brainly.in/question/25043268

#SPJ2