34. Four girls are standing in line:Wendy, Xanthe,Yana and Zoe.
Wendy thinks of a number and whispers it to Xanthe.
Xanthe subtracts five from this number and whispers the result toYana.
Yana multiplies the result by two and whispers her result to Zoe.
Zoe adds ten to the number she has heard fromYana, and then calls out her result.
For example: IfWendy thinks of 8, Xanthe whispers 3 toYana.Yana then whispers 6 to Zoe, who then calls out 16
(a) If Wendy thinks of 10, which number does Zoe call out?
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(b) If Zoe calls out 4, which number did Wendy think of?
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(c) If Yana whispers 3 to Zoe, which number did Wendy think of?
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(d) If Zoe calls out the same number as the one Wendy thought of, which number must that be?
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(e) If Wendy thought of 6, but Zoe called out 18, something has gone wrong!
(i) If it was Xanthe who misheard Wendy, what number did Xanthe think she heard?
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(ii) If Xanthe heardWendy correctly and it was Zoe who made a mistake by adding the wrong amount, what did Zoe add by mistake?
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