<PRE><B>Question 1177095</B>
.
A V and W had a total of 510 stickers. The ratio of A to V stickers was 6:7 at first. After A and V each 
gave away half of their stickers the 3 had 345 stickers left. How many did W have at first. 
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&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;As a continuation of the solution by @Theo.

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;===============================================




In this problem, &amp;nbsp;the imposed conditions &amp;nbsp;CONTRADICT &amp;nbsp;each to the other, &amp;nbsp;so such integer numbers,

satisfying the imposed conditions, &amp;nbsp;DO &amp;nbsp;NOT &amp;nbsp;EXIST.



Indeed, &amp;nbsp;if the sum &amp;nbsp;&amp;nbsp;A + V = 330, &amp;nbsp;&amp;nbsp;as &amp;nbsp;@Theo correctly found in his solution, &amp;nbsp;then the ratio of &amp;nbsp;A &amp;nbsp;to &amp;nbsp;V &amp;nbsp;stickers &amp;nbsp;CAN &amp;nbsp;NOT &amp;nbsp;be &amp;nbsp;&amp;nbsp;6:7,


since there are no such integers &amp;nbsp;A &amp;nbsp;and &amp;nbsp;V with the sum of &amp;nbsp;330 &amp;nbsp;and with the ratio &amp;nbsp;6:7.



Thus this problem is a &amp;nbsp;FAKE, &amp;nbsp;good only for re-cycling.



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