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could someone explain to me how to solve this problem:
In Tom’s favorite game he has a certain average for the first 25 rounds. After scoring 140 points in the 26th his average improves by 3 points. What is his new average after the 26th round?
The answer is 65!
Many thanks and good luck to all of you!
P.S. No answer choices were given
Step by step solution:
Let Tom's average for the first 25 rounds be x, then the sum of the points will be 25x. After scoring 140 the new sum will be 25x+140 and the new average will be (25x+140)/26, which is given to equal to x+3: (25x+140)/26=x+3 --> x=62 --> x+3=65. _________________