Question

Three brothers Charlie Robert and Nicholas have 21 video games Charlie has twice as many games as Robert. Robert has 5 fewer games than Nicholas what would be the equation

Answer 1

The equation would be
`4x-15=21.`

Explanation:

Given:

Three brothers Charlie Robert and Nicholas have 21 video games Charlie has twice as many games as Robert. Robert has 5 fewer games than Nicholas.

Now, to find the equation.

Let the games Nicholas has be
`x.`

Robert has games
`x-5.`

And Charlie has
`2(x-5).`

Now, the equation is:

`(x)+(x-5)+2(x-5)=21.`

`x+x-5+2x-10=21\\2x-5+2x-10=21\\4x-15=21`

`4x-15=21.`

Therefore, the equation would be
`4x-15=21.`

Answer 2

The equation would be
`4x-15=21`.

Explanation:

Given;

Total Number of Video games = 21

Let the number of video game Nicholas has be 'x'.

Now Given:

Robert has 5 fewer games than Nicholas.

so we can say that;

number of video game Robert has =
`x-5`

Also Given:

Charlie has twice as many games as Robert.

so we can say that;

number of video game Charlie has =
`2(x-5)=2x-10`

we need to write the equation.

Solution:

Now we can say that;

Total Number of Video games is equal to sum of number of video game Nicholas has, number of video game Robert has and number of video game Charlie has.

framing the equation we get;

`x+x-5+2x-10=21\\\\4x-15=21`

Hence The equation would be
`4x-15=21`.

On Solving we get;

Adding both side by 15 we get;

`4x-15+15=21+15\\\\4x=36`

Dividing both side by 4 we get;

`(3x)/(4)=(36)/(4)\\\\x=9`

Hence Nicholas has = 9 video games

Robert has =
`x-5= 9-5=4` video games

Charlie has =
`2x-10 = 2*9-10=18-10=8` video games