Coins

Harvey had saved up a number of 2-euro coins. He stored coins in a single layer in a square. Left 6 coins. When he make square, which has one more row, missing 35 coins.

How many euros he have?

Result

n =  812 Eur

Solution:

n=2x xx+6=(x+1)(x+1)35 6=2x+135 x=20  n=2(2020+6)=812 Eurn = 2 \cdot x \ \\ x \cdot x+6 = (x+1)(x+1)-35 \ \\ 6 = 2x + 1 - 35 \ \\ x = 20 \ \\ \ \\ n = 2 \cdot (20\cdot 20+6) = 812 \ \text{Eur}



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