FOR CHILDREN

PROBLEM # 1

Ram is 20% older than Shyam, and Shyam is 40% younger than Bhim. The sum of their ages is 23.2 years. How old will Ram be on his next birthday?

FOR GROWNUPS

PROBLEM # 2
The expression
(x+y+z)^2006 + (x-y-z)^2006
is simplified by expanding it and combining like terms. How many terms are in the simplified expression?

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SOLUTIONS TO PROBLEMS ON 01/26/06

FOR CHILDREN

PROBLEM # 1
Ann purchased a house for $ 160,312. She wants to sell it for a profit of exactly 12%. However, she does not want to sell it herself. She wants a Real Estate Agent to sell it for her. The Agent must make a commission of exactly 5.5% (in addition to Ann's 12% profit). How much must the Agent sell the house for? Give your answer to the nearest dollar.

SOLUTION
$189,999.

FOR GROWNUPS

PROBLEM # 2
What is the limit of the function
f(x) = (4 - x^2) / (3 - sqrt(x^2 + 5))
as x tends to 2.

SOLUTION
6.

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