Albert, bill, claire, and David are all siblings. Bill was born 2 years after Albert. Claire's favourite colour is orange and she is currently half the age of Albert. David enjoys golf and swimming and he is 3 times older than Bill. The total of their age is 113 using algebraic methods find out their exact age
what is their exact age

Albert = 22

Bill = 22 - 2 = 20

Claire = 22/2 = 11

David = 3(20) = 60

Step-by-step explanation:

Let Albert's age = x

Bill = x - 2

Claire = x/2

David = 3(x - 2)

Total sum of their ages = 113

x + x - 2 + 0.5x + 3(x - 2) = 113

x + x - 2 + 0.5x + 3x - 6 = 113

x + x + 3x + 0.5x -2 - 6 = 113

5.5x - 8 = 113

5.5x = 113 + 8

5.5x = 121

x = 121 / 5.5

x = 22

Albert = 22

Bill = 22 - 2 = 20

Claire = 22/2 = 11

David = 3(20) = 60

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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the quadrant is facing upwards