MathDB

3

Part of 2022 AMC 10

Problems(2)

school math algebra flashbacks

Source: 2022 AMC 10A #3 / 2022 AMC 12A #2

11/11/2022
The sum of three numbers is 9696. The first number is 66 times the third number, and the third number is 4040 less than the second number. What is the absolute value of the difference between the first and second numbers?
<spanclass=latexbold>(A)</span>1<spanclass=latexbold>(B)</span>2<spanclass=latexbold>(C)</span>3<spanclass=latexbold>(D)</span>4<spanclass=latexbold>(E)</span>5<span class='latex-bold'>(A) </span> 1 \qquad <span class='latex-bold'>(B) </span> 2 \qquad <span class='latex-bold'>(C) </span> 3 \qquad <span class='latex-bold'>(D) </span> 4 \qquad <span class='latex-bold'>(E) </span> 5
2022 AMC2022 AMC 10a2022 AMC 12AAMC 10AMC 12algebraAMC
Even and Odd

Source: AMC 10b Problem 3

11/17/2022
How many three-digit positive integers have an odd number of even digits?
<spanclass=latexbold>(A)</span>150<spanclass=latexbold>(B)</span>250<spanclass=latexbold>(C)</span>350<spanclass=latexbold>(D)</span>450<spanclass=latexbold>(E)</span>550<span class='latex-bold'>(A) </span>150\qquad<span class='latex-bold'>(B) </span>250\qquad<span class='latex-bold'>(C) </span>350\qquad<span class='latex-bold'>(D) </span>450\qquad<span class='latex-bold'>(E) </span>550
AMCAMC 102022 AMC2022 AMC 10BDigitcounting