Bob and mark talk about their families. bob says he has 3 kids, the product of their age is 72. he gives another clue: the sum of the ages of his children. mark points out there is still not enough information to accurately guess.
finally, bob says, my youngest child called justice .
mark can then correctly determine the ages of bobs children .
what are the ages ?

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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