Puzzles and logic › Number puzzles › Changing digits and numbers

Sum of squares after two increments

High school · ●●○○○ 20 pts

Each of 100 given numbers was increased by 11. Then each number was increased by 11 once more. Given that after the first increase the sum of the squares of the numbers did not change, find by how much the sum of the squares changed after the second increase.

Sign in to save your progress.

algebraic identitiessum of squarespolynomial expansion