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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Number of marbles of Neil = x
Number of marbles of john=4x
brilliant, I see where I was going wrong. thank you so much.
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why did you let x=neil??
Because it is given in the question that John has "four times" as many marbles as "neil"
So let neil be x & john 4 times x = 4x
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
4N=18+N (J=4N, from the ist statement)
Therefore J=4*6 i.e 24 and since John gave 18 to Neil, 18+6=24.
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.
Thank you trying nidi.
not a problem :-) i'm looking at the question stem again.... and reading it in parts..
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
oooopsss!!!! yes that's where i went wrong !!! apologies!! :P