Darren and his two siblings' ages are three consecutive odd numbers. If the sum of their ages is 51, what are the three ages? Enter the numbers in increasing order. age 1:

age 2:

age 3:

age 1: 15

age 2:17

age 3:19

Step-by-step explanation:

15+17+19=51

Step-by-step explanation:

Let Darren age be x

and since they are odd consecutive numbers,

his two siblings age will be

1st sibling is x+2

2rd sibling is x+2+2 = x+4

If the sum of their ages is 51

that is,  x+x+2+x+4= 51

              3x+6 = 51

              3x+6-6=51-6

               3x = 45

               3x/3 = 45/3

                 x = 15 yrs

 Since x is 15, therefore Darren age is 15

and 1st sibling is x+2

                       = 15+2

                       = 17 yrrs

and 2rd sibling is x+4

                           = 15+4

                           = 19 yrs

after simplifying it i got: -36.25 as my answer. hope that !

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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