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For The Mathematically Inclined

Anil Saigal
08/12/2011

PROBLEM #1
Ram went into a back to cash a check. In handling the money, the cashier, by mistake, gave him dollars for cents and cents for dollars. He pocketed the money without examining it, and spent a nickel on his way home. He then found out that he possessed exactly twice the money of the check.
He had no money in his pocket before going to the bank. What was the exact amount of the check?

PROBLEM #2

In the equation A^2 + B^2 + C^2 = D^2 + E^2,
A, B, C, D, and E are 5 consecutive positive integers.
what are they?

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Please send your solutions to mr.asaigal@gmail.com.

Use Problem Solutions M-081811 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani.

Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com.

If you need clarification on any problem, please contact anil@lokvani.com.

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Problems from 08/04/11

PROBLEM # 1
Factorize:  x^2 - x -12.

SOLUTION 1
(x-4)(x+3)

PROBLEM #2
What is the second derivative of f(x) = x 1 / 3

SOLUTION 2
(-2/9) x^(-5/3) 

Congratulations to Kishore Balsara, who was the winner of the last set of puzzles.



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