I really need an answer, I was absent the day this was discuss and I don't know what to do here please ASAP Annie is 8 years older than Girlie. Two years ago, Annie was twice as old as Girlie. What are their present ages?

I get the first part, which is x-y=8 , but I don't get the other, I multiplied girlie's age bt two and subtract both age by 2 , then what?

1 Answer
Mar 11, 2018

Girlie is 10, Annie is 18

Explanation:

Let Girlie's age be #y#
and Annie's age be #x#

You have correctly found that #x=y+8 or x-y=8#

The second statement tells us that
two years ago #2y=x#

Hence we solve the equations simultaneously (I have done it by substitution) to find their ages two years ago, then simply add 2 to each of their ages.

#=> 2y=y+8#
#=> y=8#
#=> x=2*8 = 16#

then add two to each:
#y=10#
#x=18#

Alt method:
If you are confident rearranging equations,
equation 2 can be written as: #2(y-2)=(x-2)#
which removes the need to add two later.

#2(y-2)=(y+8-2)#
#=> 2y-4=y+6#
#=>y=10#
#=> x=10+8=18#