<PRE><B>Question 569469</B>
Let
Present age of Anna = a
Present age of Brandi = b



Given
=====
Anna is seven years younger than Brandi
a=b-7............(1)
Three years from now 
Anna will be = a+3

Nine year ago 
Brandi was = b-9


Then


Anna will be twice as old as brandi was nine years ago
a+3=2(b-9)
a+3=2b-18
a=2b-18-3
a=2b-21................(2)
Put the value of a from (1) to (2)
b-7=2b-21
b-2b=-21+7
-b=-14
Multiply by -1 both sides of above equation
(-1)(-b)=(-1)(-14)
b=14
Put the value of b in (1)
a=b-7
a=14-7
a=7

Present age of Anna = a = 7 years old
Present age of Brandi = b = 14 years old
Six years from now Brandi will be = 14+6 = 20

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