As part of an arithmetic exercise Mr Strump chooses two diff
As part of an arithmetic exercise, Mr. Strump chooses two different digits from 1 to 9, tells Abby their product, then challenges Abby to figure out which two digits he has chosen. After a moment, Abby complains that there could be more than one answer. Realizing that she is correct, Mr. Strump helpfully mentions that the sum of the digits is not equal to 10. Abby is then able to correctly deduce the two digits. Explain how it is possible to precisely determine Mr. Strump’s two digits based on this story.
hit \"there are relatively few products Mr. strump could have had in mind. For example, if he told Abby that the product was 14, Abby would know that his digits were 2 and 7, since this is the only pair of digits which multiply to give 14. Being by fidning all five products that can be obtained in mroe than one way.\"
Solution
There are only 2 possible set of numbers between 1 and 9 whose product will be such that Mr. Abby will not be able to answer correctly. These 2 sets are (4,6) and (2,9). Ther possibility for (4,6) = (3,8) and for (2,9) = (6,3).
NOW SINCE THE SUM IS NOT EQUAL TO 10 THEREFORE POSSIBILITY 1 IS RULLED OUT SO THE ANSWER ID (2,9)

