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Algebra Level 3

My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years ?


The answer is 72.

Arko Roychoudhury by arko roychoudhury , 20, India

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3 solutions

Andrew Cancienne
Sep 8, 2015

Ans=72 years old. 72 months=6 years old. 6*365 days=2190. 2190/52=42. 72+42+6=120 years.

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Syed Baqir
Sep 12, 2015

Simple Approach:

7* Grand Son = Son

12*Grand Son = Me --- (i)

Son + Grand Son + Me = 120

So : => 7G + G + M = 120

=> 8G + M = 120

But G = 12 / M < From (i)

∴ 8 M 12 + M = 120 → 5 M 3 = 120 \therefore \frac{8M}{12} + M = 120 \rightarrow \frac{5M}{3} = 120

H e n c e M = 72 Hence\quad \boxed{M=72}

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The FNAF picture was quite hilarious so you might lose concentration.

Jingyang Tan - 5 years, 9 months ago

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Hmm m m m m \color{#D61F06}{mmmm} m m \color{#20A900}{mm} mmmm !!

Syed Baqir - 5 years, 9 months ago
Yuki Kuriyama
Sep 8, 2015

Let the son be 'x' weeks old=(x/52) years old=7x days old. Now,the grandson is 'x' days old=(x/365)years=(12x/365)months old. & grandpa(or grandma.!)is (12x/365) years old. Hence,[12x/365 + x/365 + x/52]=120,..as is given. So,we get x=(120*18980)/1041. Substituting this value of x in grandpa's age,we get the value 24960/347=71.931=72.

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