Quicker Maths
19Nov/093

A Problem of Family Relations

Every man or woman alive today had 2 parents, 4 grand-parents, 8 great-grand parents, 16 great-great-grand parents, 32 great, great, great grand parents and so on.

Let us take the case of Ram. Two generations ago Ran had 2 x 2 or 22, or 4 ancestors. Three generations age he had 2 x 2 x 2 or 23or 8 ancestors. For generations ago he had 2 x 2 x 2 x 2 or 24 or 16 ancestors.

Assuming that there are 20 years t o a generation, can you tell 400 years back how many ancestors did Ram have?

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