## Judy is now twice as old as Adam, but 6 years ago, she was 5 times as old as he was. How old is Judy now?

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## Answers ( )

Answer:Step-by-step explanation:Let Adam be x

Let Judy be 2x

their age 6 years ago would be their age now minus 6

so adam is x-6 and judy is 2x-6

it says that 5 years ago Judy was 5 times adams age. so that means 6 years ago judy was (x-6)*5

judys age 6 years ago was 2x-6

so that means 2x-6=(x-6)5

2x-6=5x-30

2x+24=5x

24=3x

x=8

so adam is 8.

Then Judies age is 8*2 which is 16 years old.