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Find the missing number in the analogy.

\begin{tabular}{lll}
42 & [tex]$(35)$[/tex] & 30 \\
56 & [tex]$(55)$[/tex] & 35 \\
63 & [tex]$(\quad)$[/tex] & 45
\end{tabular}

A) 80
B) 96
C) 100
D) 65

Sagot :

GinnyAnswer
Para resolver el problema, vamos a analizar los patrones y operaciones en cada fila de la tabla y determinar el número faltante en la tercera fila.

1. En la primera fila:
- 42, (35), 30
- Vamos a plantear la ecuación con estos números:
[tex]\[ 35 - (42 - 30) = x \][/tex]
- Resolviendo, obtenemos:
[tex]\[ 35 - 12 = 23 \][/tex]

2. En la segunda fila:
- 56, (55), 35
- Usamos una ecuación similar a la anterior:
[tex]\[ 55 - (56 - 35) = y \][/tex]
- Resolviendo, obtenemos:
[tex]\[ 55 - 21 = 34 \][/tex]

3. En la tercera fila, falta un número:
- 63, (??), 45
- Usamos la misma forma de plantear la ecuación:
[tex]\[ z - (63 - 45) = z \][/tex]
- Resolviendo, obtenemos:
[tex]\[ 63 - 18 = 45 \][/tex]

Por lo tanto, el número faltante en la tercera fila es 45.

Así que la respuesta correcta es:
D) 65
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