Milene is 3 years older than john. In 7 years, john's age will be 6/7 of Milene's age. How old they are now?

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Answer 1 · 2016-11-06T19:33:03

John is 11 years old and Milene is 14 years old.

Let #m# = Milene's current age, and let #j# = John's current age.

Equation A: #m = j+3#
Equation B: #j+7 = 6/7(m+7)#

Substituting equation A into equation B:
#j+7 = 6/7((j+3)+7)#
#j+7 = 6/7(j+10)#
#j+7 = 6/7j+60/7#
#1/7j = 11/7#
# j=11 #

Substituting j=11 into equation A:
#m=11+3#
#m=14#