SOLUTION: Ann is 6 years older than Mary. She is also twice as old as Mary is when Ann was as old as Mary is now. How old is each girl?

Question 145857: Ann is 6 years older than Mary. She is also twice as old as Mary is when Ann was as old as Mary is now. How old is each girl?
Answer by 24HoursTutor.com(40) (Show Source): You can put this solution on YOUR website!
Assume Mary's age to be x
Which would mean Ann's age = 6 + x
Now, Ann was Mary's age 6 yrs ago which means : x-6
And now her age is twice the age of Mary 6 yrs ago : 2(x-6)
NOw, equating both the equations we get :
2(x-6) = 6 + x
2x-12 = 6 + x
2x - x = 6 + 12
x = 18
Hence, Mary's age is 18 yrs while Ann is 24 yrs old.
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