A has some coins He gives half of the coins and 2 more to B B gives half of the coins and 2 more to ...........

Math and Mental Ability Simplification

A has some coins. He gives half of the coins and 2 more to B. B gives half of the coins and 2 more to C. C gives half of the coins and 2 more to D. The number of coins D has now, is the smallest two-digit number. How many coins does A have in the beginning?

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Explanation:

The number of coins with D = 10
Let’s work backwards now.
D = (C/2) + 2
Or C/2 = 10 – 2 = 8
Or C = 16
Similarly,
C = (B/2) + 2
Or B/2 = 16 – 2 = 14
Or B = 28
And finally,
B = (A/2) + 2
Or A/2 = 28 – 2 = 26
Or A = 52
So, A initially had 52 coins.