Method of False Position Homework

 My Own Problem (Egyptian Problem):

A quantity and it's fourth, added together gives 26. What is the quantity?

Modern Solution:

x+x/4 = 25

5x/4 = 25

x = 20


Egyptian False Position:

Solution:

Try x = 4.

x+x/4 = 4+4/4 = 5

We need the number 25, which is 5 times as big, so x must be 5 times its trial number. 
(i.e. 4*5=20)

Check: If x = 20,

x+x/4 = 20+20/4 = 20+5 = 25




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