Puzzle:

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?

For Solution SCROLL DOWN...

Play Fun Games for FREE!!!

Play Fun Games for FREE!!!

Solution:

I am 72 years old.

Let m be my age in years. If s is my son's age in years, then my son is 52s weeks old. If g is my grandson's age in years, then my grandson is 365g days old. Thus,365g = 52s.

Since my grandson is 12g months old,

12g = m.

Since my grandson, my son and I together are 120 years,

g + s + m = 120.

The above system of 3 equations in 3 unknowns (g, s and m) can be solved as follows.

m / 12 + 365 m / (52 x 12) + m = 120 or

52 m + 365 m + 624 m = 624 x 120 or

m = 624 x 120 / 1041 = 72.

So, I am 72 years old.

Since my grandson is 12g months old,

12g = m.

Since my grandson, my son and I together are 120 years,

g + s + m = 120.

The above system of 3 equations in 3 unknowns (g, s and m) can be solved as follows.

m / 12 + 365 m / (52 x 12) + m = 120 or

52 m + 365 m + 624 m = 624 x 120 or

m = 624 x 120 / 1041 = 72.

So, I am 72 years old.

## 4 comments:

72

I + S + GS = 120

I = 12GS

S = 7GS

... I = 72, S = 42, GS = 6

grand son -6

father-42

grand father-72

Easy

Suppose GS is x yrs old; then

Son (y)= 7x yrs.

self (z) = 12x yrs.

x+y+z=120

Substitute values of y & z from above;

x + 7x + 12x =120; or

20x = 120; x = 6

GS 6 yrs.

Son 6*7, 42 yrs.;

Self 6*12, 72 yrs. old

Post a Comment