**Mathematical Puzzle - 24 April**

Suppose I am a grandfather. My grandson is about as old in days as my son is in weeks. He is also as many months old as I am in years. Together, the three of us are 140 years old. How old am I?

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84 years?

ReplyDeletemore than 127 years...127.83 to be precise..?

ReplyDelete84 years, son 49 years and grandson 7 years

ReplyDeleteall variables in years

ReplyDeletegrandson * 365 = son * 52

grandson * 12 = grandfather

grandson + son + grandfather = 140

grandson + son + 12 grandson = 140

13 grandson + son = 140

son = 365/52 * grandson

13 grandson + ~7* grandson = 140

20 grandson = 140

grandson = 7

grandfather = 7 * 12 = 84

son = 7 * 7 = 49

Variables in age of grandson, days:

ReplyDeletex+7x+84x=140*365

92x=51100

x=555.43 days, or 1.52 years.

7x=3888.01 days, or 10.65 years.

84x=46656.12 days, 127.82 years.

Total adds to 139.99, just about 140 (rounding).

its 84 years

ReplyDelete