Henry Ernest Dudeney/Modern Puzzles/60 - Digital Coincidences

by : $60$

 * 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

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