Art of Problem Solving

2021 Euclid Problems: Difference between revisions

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(a) What is the value of <math>a</math> for which <math>(a-1) + (2a - 3) = 14</math>?
(a) What is the value of <math>a</math> for which <math>(a-1) + (2a - 3) = 14</math>?
==Solution==
(a) By combining like terms, we get <math>3a-4=14</math>, so <math>3a=18</math>, so <math>a=6</math>. Therefore, our answer is \boxed{6}.
~Yuhao2012

Revision as of 19:22, 12 October 2025

Problem 1

(a) What is the value of $a$ for which $(a-1) + (2a - 3) = 14$?

Solution

(a) By combining like terms, we get $3a-4=14$, so $3a=18$, so $a=6$. Therefore, our answer is \boxed{6}.

~Yuhao2012