Question

Divide 96 into two parts such that one Devi is double of the other.

Answer 1

Answer:

Given :

$\textsf{Number which should be divided = 96}$

$\textsf{Devi has double of other}$

To find :

$\textsf{(i) Part Devi got from 96}$

$\textsf{(ii) Part other people got from 96}$

Concept :

Let the part Devi got be 2x

And let the part other people got be x

So , the equation will be form like this -:

$\sf\boxed{2x+x=96}$

2x and x sum because the both of them part when we will add we will got the 96 .

Solution :

$:\implies\sf{2x+x=96}$

$:\implies\sf{3x=96}$

$:\implies\sf{x=\dfrac{\cancel{96}}{\cancel{3}}}$

$:\implies\sf{x=32}$

So , the part other people got is 32 .

Part Devi got :

$:\implies\sf{96-32}$

$:\implies\sf{64}$

So , the part Devi got is 64 .

Answer :

Part Devi got = 64

Part other people got = 32

Answer 2

Answer:

Let one part be x

Then,the other part is (96-x)

Given : Half of one part = other part

$\frac{x}{2} = (96 - x) \\ x = 2(96 - x) \\ x = 192 - 2x \\ x + 2x = 192 \\ 3x = 192 \\ x = \frac{192}{3} = 64 \\ \\ since \: x \: = 64 \: therefore \: (96 - x) = (96 - 64) = 32$

✅ hence the 2 required parts are 64 and 32

HOPE IT HELPS YOU ⛄