Sam Loyd (1841-1911) was America's greatest puzzle expert and invented thousands of ingenious and tremendously popular puzzles. After his death, Loyd's son published the Cyclopedia of Puzzles, a huge collection of Loyd's puzzles which had appeared in various newspapers and magazines over the previous fifty years.
The teacher pictured in the figure is explaining to his class the remarkable fact that 2 times 2 gives the same answer as 2 plus 2. Although is the only positive number with this property, there are many pairs of different numbers that can be substituted for a and b in an equations on the right of the blackboard, namely:
a X b = y i a + b = y
Can you find a value for a and b ? For this puzzle, Sam Loyd asks us to give different values for a and b. They may be fractions, of course, but they must have a product that is exactly equal to their sum.
a X b = y i a + b = y
Can you find a value for a and b ? For this puzzle, Sam Loyd asks us to give different values for a and b. They may be fractions, of course, but they must have a product that is exactly equal to their sum.
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