1987 AJHSME Problems/Problem 3

Problem

$2(81+83+85+87+89+91+93+95+97+99)=$

$\text{(A)}\ 1600 \qquad \text{(B)}\ 1650 \qquad \text{(C)}\ 1700 \qquad \text{(D)}\ 1750 \qquad \text{(E)}\ 1800$

Solution

$2(81+83+85+87+89+91+93+95+97+99)$

$ $\begin{aligned} = 2 ((81 + 99) + (83 + 97) + (85 + 95) + (87 + 93) + (89 + 91)) \\ = 2 (180 + 180 + 180 + 180 + 180) \\ = 2 \cdot 5 \cdot 180 \\ = 1800 . \end{aligned}$ $ (Error compiling LaTeX. Unknown error_msg)

Page

Toolbox

Search

1987 AJHSME Problems/Problem 3

Problem

Solution

See Also