Problems 50–60 do not match the examples in this text, but all the problem-solving techniques necessary to answer these questions have been covered in this text. These problems are designed to test your problem-solving abilities.

Diophantus wrote the following puzzle about himself in Anthologia Palatina:

What is Diophantus’ final age?

Transcribed Image Text:

Here lies Diophantus. The wonder behold- Through art algebraic, the stone tells how old: "God gave him his boyhood one-sixth of this life, One-twelfth more as youth while whiskers grew rife; And then yet one-seventh their marriage begun; In five years there came a bouncing new son. Alas, the dear child of master and sage Met fate at just half his dad's final age. Four years yet his studies gave solace from grief; Then leaving scenes earthly he, too, found relief."