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Exercício de XYZ4 e X4YZ representam...

por Igor Oliveira (UFTM Vestibular 2006 - Primeira fase) Normal Tuesday, May 8th, 2012

Exercício:

XYZ4 e X4YZ representam dois números inteiros de quatro algarismos. Se X4YZ excede XYZ4 em 288 unidades, então Z-Y é igual a:

 

 

Informações Adicionais:

(A) -3.

(B) -1.

(C) 1.

(D) 3.

(E) 5.


Respostas:

32 Respostas a “XYZ4 e X4YZ representam…”

Marcela diz:

X4YZ – XYZ4 = 288
Então, Z – 4 = 8 –> Z = 8 + 4 –> Z = 12. Como Z só admite um algarismo, podemos afirmar que  Z = 2. Na hora da subtração “pega emprestado” uma unidade de Y, formando 12.
Com isso, Y vira Y-1, então temos (Y-1) – Z = 8 –> Y – 1 – 2 = 8 –> Y = 8 + 3 —
–> Y = 11. Como Y só admite um algarismo, podemos afirmar que Y = 1.
Então Z – Y = 2 – 1 = 1.
letra C
 

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