Henry Ernest Dudeney/Modern Puzzles/60 - Digital Coincidences

Modern Puzzles by Henry Ernest Dudeney: $60$

Digital Coincidences

If I multiply, and also add, $9$ and $9$, I get $81$ and $18$, which contain the same figures.

If I multiply and add $2$ and $47$ I get $94$ and $49$ -- the same figures.

If I multiply and add $3$ and $24$ I get the same figures -- $72$ and $27$.

Can you find two numbers that, when multiplied and added will, in this simple manner, produce the same three figures?

Also see

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• Numbers the Sum of whose Digits is Reversal of Product of Digits

Sources

• 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $60$. -- Digital Coincidences
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $111$. Digital Coincidences