# math

Vinny wrote down all the single-digit base-b numbers and added them in base b, getting 34_b.

What is b?

1. 👍 0
2. 👎 0
3. 👁 256
1. the sum of the integers from 0 to b-1 is b(b-1)/2
so, b(b-1)/2 = 3b+4
b^2-b = 6b+8
b^2-7b-8 = 0
(b-8)(b+1) = 0
b=8 since b>1
check:
sum(0..7) = 28 = 3*8+3

1. 👍 1
2. 👎 0

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