+1438 After two numbers are removed from the list
9, 13, 15, 17, 19, 23, 31, 49
the average and the median each increase by 2. What is the product of the two numbers that were removed?
+128472 Average before removal = ( 9 + 13+ 15+ 17+19+ 23 + 31+ 49) / 8 = 22
Median before removal = (17 + 19) / 2 = 18
Avg after removal = 24
Median after removal = 20
19 must have been one of the numbers removed because (17 + 23) / 2 = 20
So.....if the new average is 24......the sum of the numbers must be 24 * 6 = 144
So....the sum of the 7 numbers after 19 is removed is 157....so......13 must be the other number removed to have a sum of 144
Proof
9,15,17,23,31,49
Average = 24
Median = 20
So...the product of the removed numbers is 19 * 13 = 247
