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Concours de mathématiques

The answer from Montargis

x.... age of Jean
y.... age of his son

12+y=(x+12)/3
2+y=(2+y)/13
12+y=(x+12)/3
12+y=x/3+4
2+y=2/3+x/13

1) y=x/3+4-12
   y=x/3-8

2) 2+x/3-8=2/13+x/13
   x/3-x/13=6+2/13
   (13x-3x)/39=(78+2)/13
   10x/39=80/13
   x=(80/13)*(39/10)=24
   x=24

1) y=(24/3)-8=0

Answer: His wife is pregnant now.

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