Melissa is 24 years younger than Joyce. In 2 years, Joyce will be 3 times as old as Melissa will be then. How old are they now?

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Answer 1 · 2018-06-24T00:10:18

Joyce is currently 34 and Melissa is 10

Let #x# be Joyce's age
Then #x-24# is Melissa's age

Therefore in 2 years time, Joyce's age is #x+2# and Melissa's age is #x-22#

Now, it tells you that Joyce will be 3 times as old as Melissa
#x+2=3(x-22)#
#x+2=3x-66#
#68=2x#
#x=34#

Therefore, Joyce is currently 34 and Melissa is 10