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Jmech
Given; A man sells seven different sized balls. Each ball costs n dollar more than the next one below it in size , and the price of the biggest ball is  $ 46.
Asked: If the sum of the prices of the seven different balls is $ 196 , what is the value of n ?

Prices of the balls form an arithmetic progression in which: 
S = 7/2 * (2*46 - 6*n) = 196 : Since S = n/2 {2a + (n-1)d}
92 - 6n = 196*2/7 = 56
6n = 92 - 56 = 36
n = 36/6 = 6
IMO A
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