Question

Angie is x years old. Her sister is 12 years older than her while their mother is twice as old as her sister. Betty is 3 years younger than angie while Betty's mother is 4 times as old as Betty. Express Angie's mother's age in terms of x. express Betty's mother's age in terms of x. if Angie's mother is 6 years older than Betty's mother, find Angie's age​

Answer 1

Explanation:

Parking lot:

Angie=x

Sister=x+12

Amom=2•(sister) or 2(x+12)=2x+24

Betty=x-3

Bmom=4•(betty) or 4(x-3)=4x-12

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Part A: Amom=2x+24

Part B: Bmom=4x-12

PartC:

x=angie

Amom=Bmom+6

2x+24=4x-12+6

2x+24=4x-6

24-6=4x-2x

18=2x

9=x

Angie is 9 years old.