A Fruitful Valentines Day!!!
Algebra
Level
3
A mother is 21 years older than her child. In 6 years (February 2021), the mother will be 5 times as old as her child. When did/does/will the mother became/become pregnant?
Bonus Question: Where is the father?
February 14, 2014
February 14, 2016
February 14, 2013
February 14, 2015
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1 solution
Let M=mother's age, C=child's age
Then equating the problem:
M = C + 2 6
M + 6 = 5 ( C + 6 ) ⇒ M = 5 C + 2 4
C + 2 6 = 5 C + 2 4 ⇒ C = 4 − 3
Hence the child will be born on 3/4years, rather on 9 months from today, so we can conclude that the Mother will be pregnant this month