Henry Ernest Dudeney/Puzzles and Curious Problems/121 - Find the Numbers

Puzzles and Curious Problems by Henry Ernest Dudeney: $121$

Find the Numbers

Can you find $2$ numbers composed only of ones which give the same result by addition and multiplication?

Of course $1$ and $11$ are very near, but they will not quite do,

because added they make $12$, and multiplied they make only $11$.

Sources

• 1932: Henry Ernest Dudeney: Puzzles and Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Various Arithmetical and Algebraical Problems: $121$. -- Find the Numbers
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $140$. Find the Numbers