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Difficulty: 3 of 5 Latest: Simultaneous Settlement (in Just Math) Rating: 5.00
Without solving for x and y, determine all possible values of x*y in this simultaneous equation:

x+x*y = 8 and, y+x*y = 9

Note: Solving for 1/x, 1/y, -x or -y is similarly NOT allowed.

(No Solution Yet, 5 Comments) Submitted on 2012-01-27 by K Sengupta   
Difficulty: 1 of 5 Bonus: 'Twas whispered in heaven (in Famous Riddles) Rating: 4.31
'Twas in heaven pronounced, and 'twas muttered in hell,
An echo caught faintly the sound as it fell;
On the confines of earth 'twas permitted to rest,
And the depths of the ocean its presence confessed;
'Twill be found in the sphere when 'tis riven asunder,
Be seen in the lightning and heard in the thunder.
'Twas allotted to man with his earliest breath,
Attends him at birth, and awaits him in death,
Presides o'er his happiness, honor, and health,
Is the prop of his house, and the end of his wealth.
In the heaps of the miser 'tis hoarded with care,
But is sure to be lost on the prodigal heir.
It begins every hope, every wish it must bound,
With the husbandman toils, and with monarchs is crowned.
Without it the soldier, the seaman may roam,
But woe to the wretch who expels it from home!
In the whispers of conscience its voice will be found,
Nor e'en in the whirlwind of passion be drowned.
'Twill not soften the heart; but though deaf be the ear,
It will make it acutely and instantly hear.
Yet in shade let it rest, like a delicate flower,
Ah... breathe on it softly, - it dies in an hour.

("A Riddle", by Joanna Baillie, 1762-1851)

(Solution Posted, 14 Comments) Submitted on 2005-06-17 by The riddler   
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Posted on 2012-01-14 by K Sengupta (No Solution Yet, 1 Comments)
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Posted on 2012-01-13 by Ady TZIDON (No Solution Yet, 10 Comments)

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