# What will be the age of Garvin after 10 and 1/2 a year?

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Mr. Tapan says to his son Garvin: " My age was two years more than 7 times of yours age before 25 & 1/2 years and after 7 & 1/2 a year, my age will be twice of yours age of 1/2 a year before ".
What will be the age of Garvin after 10 and 1/2 a year?

posted Oct 31, 2019

42 years old

Garvin age now- g
Mr. Tapan age now- t
25.5 years ago ---- t-25.5=(g-25.5)*7+2 --> t=7g-151 ----->(1)
7.5 years after ---- t+7.5=(g+7.5-0.5)*2 --> t=2g+6.5 -----> (2)
From (1) and (2) we have:
7g-151=2g+6.5 --> g=31.5 years old
After 10.5 years--- g+10.5= 42 years old

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