Henry Ernest Dudeney/Modern Puzzles/54 - The Two Additions/Solution

Modern Puzzles by Henry Ernest Dudeney: $54$

The Two Additions

Can you arrange the following figures into two groups of $4$ figures each so that each group shall add to the same sum?

$1 \ 2 \ 3 \ 4 \ 5 \ 7 \ 8 \ 9$

Solution

Trick puzzle.

$12 + 4 + 8 = 3 + 5 + 7 + 9 = 24$

There are probably many such answers.

Dudeney himself offers:

 173       85
   4       92
 ---      ---
 177      177

Sources

• 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Solutions: $54$. -- The Two Additions
• 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Answers: $105$. The Two Additions