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- anonymous

John has four times as many marbles as Neil. If John gave 18 to Neil, they would have the same number. How many marbles has each??

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- anonymous

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- anonymous

Number of marbles of Neil = x
Number of marbles of john=4x
4x-18=x+18
3x=36
x=12
Neil=12
John=48

- anonymous

brilliant, I see where I was going wrong. thank you so much.

- anonymous

Glad to help :)

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- anonymous

why did you let x=neil??

- anonymous

Because it is given in the question that John has "four times" as many marbles as "neil"

- anonymous

So let neil be x & john 4 times x = 4x

- anonymous

nice.

- anonymous

Let John be J and Neil be N,
1) "John has four times as many marbles as Neil" i.e J=4N
2)"If John gave 18 to Neil" i.e J=18+N
now solve by substituting the value for J in the 1st statement , so the equation will be
J=18+N
4N=18+N (J=4N, from the ist statement)
4N-N=18
3N=18
N=6
Therefore J=4*6 i.e 24 and since John gave 18 to Neil, 18+6=24.

- anonymous

So if John has 24 and Neil has 6 ,When John gives 18 to Neil ,John's marbles reduces to 6 and Neil's increases to 24 hence Both of them does not have the same number .
So i assume your answer is wrong.

- anonymous

Thank you trying nidi.

- anonymous

not a problem :-) i'm looking at the question stem again.... and reading it in parts..

- anonymous

Nidi You made a mistake in this step J=18+N
When John give 18 Marbles it will be J-18=18+N
Then you can continue with your method :) Good one

- anonymous

oooopsss!!!! yes that's where i went wrong !!! apologies!! :P

- anonymous

No problem :)

- anonymous

john's marbles=4(Neil's marbles),let x=john's marbles;y=Neil's marbles
x=4y;
x-18=y+18;
4y-18=y+18;
3y=36;
y=12-Neils'smarbles
x=4y;
x=4(12)
x=48-john's marbles

- anonymous

nice

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