# Thread: Help me with age sequence

1. ## Help me with age sequence

hime is younger than sasuke who is younger than zero who is older than Mario who is younger than Felix (by at least 1 space, but not more than 3). Hime is older than Mario. felix is older than hime. sasuke is in the middle. Who is the 2nd oldest?

2. Hello, ranthrave!

We need some clarification . . .

Hime is younger than Sasuke, who is younger than Zero, who is older than Mario,
who is younger than Felix (by at least 1 space, but not more than 3).
Hime is older than Mario.
Felix is older than Hime.
Sasuke is in the middle.
Who is the 2nd oldest?

"Hime is younger than Sasuke, who is younger than Zero": . $H \:< \:S \:<\:Z$

"Hime is older than Mario": . $M \:<\:H \:<\:S\:<\:Z$

"Felix is older than Hime": . $\begin{array}{ccc}M & < & H\end{array}\;\;\begin{array}{cccc}< & S & < & Z \\ < & F \end{array}$

"Sasuke is in the middle": . $\begin{array}{ccccc}M & < & H & < & S\end{array}\;\;\begin{array}{cc}< & Z \\ < & F \end{array}$

So either $Z$ or $F$ is the oldest.

"Mario is younger than Felix (by not more than 3 spaces)"
. . Hence, Felix cannot be the oldest.

The order is: . $M \;<\;H\;<\;S\;<\;F\;<\;Z$

Therefore, Felix is the second oldest.

3. Originally Posted by ranthrave
hime is younger than sasuke who is younger than zero who is older than Mario who is younger than Felix (by at least 1 space, but not more than 3). Hime is older than Mario. felix is older than hime. sasuke is in the middle. Who is the 2nd oldest?
Hime is younger than Sasuke who is younger than Zero.....
H < S < Z

....who is older than Mario who is younger than Felix (by at least one space but not more than 3 spaces). Hime is older than Mario. Felix is older than Hime....
M < H < F < S < Z

....Sazuke is in the middle.
M < H < S < F < Z

So, Felix is the second oldest. -------answer.

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Oppsss, I was late.