Adam, Brian, and Casey are all brothers. Brian is three years less than twice Casey’s age. Adam is 9 years older than Casey. The sum of their ages is 46. How old is each of the brothers

Let Casey's age be x

Brian's age will be -3 from 2 times x ( Casey's age ) so it will be 2x-3

Adam's age will be Casey's age (x) + 9 which is x+9

NOW the sum of all these ages is 46 so..

Casey's age + Brian's age + Adam's age = 46

x + 2x-3 + x+9 = 46

2x + x + x + 9 -3 = 46

4x + (9 - 3) = 46

4x - 6 = 46

now transfer the numbers on the left one by one to the other side( right )

4x = 46 - 6        ( always remember the sign of the number becomes the                            opposite when we transfer them to other side)

4x = 40

x = 40 / 4

x = 10

so x = Casey's age = 10

2x - 3 = Brian's age = 2 * 10 - 3

                                = 20 - 3   =   17

x + 9 = Adam's age = 10 + 9 = 19

you have orange juice on wednesday. (idk why this is the answer)

step-by-step explanation:

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation: