A Problem of Family Relations

Mathematical Puzzle

Apply your calculative skills to find out the answer to this maths puzzle.

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 ago he had 2 x 2 x 2 or 23 or 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?

Vineet Patawari

Hi, I'm Vineet Patawari. I fell in love with numbers after being scared of them for quite some time. Now, I'm here to make you feel comfortable with numbers and help you get rid of Math Phobia!

2 thoughts to “A Problem of Family Relations”

1. RAGHVENDRA GUPTA says:

NO OF ANCESTORS WOULD BE 2^20=1048576

2. divya says:

since 400 years..so the no of generations would be 20:
den no of ancestors would be 2^20=45056