Think of a Number/Examples
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Examples of Think of a Number puzzles
Rhind Papyrus Problem $28$
- $\dfrac 2 3$ is to be added.
- $\dfrac 1 3$ is to be subtracted.
- There remains $10$.
Rhind Papyrus Problem $30$
- If the scribe says to thee:
- $10$ has become $\dfrac 2 3 + \dfrac 1 {10}$ of what?
Rhind Papyrus Problem $33$
- A number, plus its two-thirds, and plus its half, plus its seventh, makes $37$. What is the number?
It is to be expressed in Egyptian form.
Bachet: $1$
- If it is even, he takes half of it,
- or if it is odd, he adds one and then takes one half.
- Next he multiplies the result by $3$,
- and tells you how many times $9$ will divide into the answer, ignoring the remainder.
- The number he chose is -- what?
Bachet: $2$
- The subject chooses a number less than $60$
- and tells you the remainders when it is divided by $3$, $4$ and $5$, separately, not successively.
- The original number is -- what?
Bachet: $3$
- The first person takes a number of counters greater than $5$.
- The second person takes $3$ times as many.
- The first person gives $5$ counters to the second.
- The second person then gives the first $3$ times as many as the first person holds in his hand.
- How many counters has the second person got in his hand?