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From Mahavira (Posted on 2017-07-18) Difficulty: 2 of 5
From the year c. 850 the book Ganita-Sara-Sangraha contains the following:

Three merchants saw in the road a purse. One said, "If I secure this purse, I shall become twice as rich as both of you together."
Then the second said, "I shall become three times as rich."
Then the third said, "I shall become five times as rich."
What is the value of the money in the purse, as also the money on hand?

There are an infinite number of solutions. Find the smallest whole number amounts the merchants could have.

No Solution Yet Submitted by Jer    
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Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re(3): Simple Solution, simple-yes ... correct-Yes | Comment 7 of 11 |
(In reply to re(2): Simple Solution, simple-yes ... correct-Yes by Brian Smith)

My (and Steve's)  understanding of the text:

Three merchants saw in the road a purse. One said, "If I secure this purse, I shall become twice as rich  
 as both of you together."
Then the second said, "I shall become three times as rich as both of you together
Then the third said, "I shall become five times as rich  as both of you together"

Jer,  can you provide a link to the source,  and/or to the original solution.
"Begging to differ" is due to the way the 2 statements, following the 1st are interpreted.

  Posted by Ady TZIDON on 2017-07-19 09:32:58
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