Lin and Ann each have a collection of music CDs.
If Ann gives Lin 12 of her CD's, they would each have the same amount of CDs.
If Lin gives Ann 12 of her CD's. Ann would have four times as many CDs as Lin.
How many music CD's does Ann have?
(A) 80 (B) 52 (C) 28 (D) 24
I have been stumped by this question. I have tried to solve this problem by simultaneous substitution. By that I mean, I made the 2 equations representing what has happened. (1) A = L + 12, (2) 4A = L - 12. From there I solved for Ann and got the answer 24. After checking the answer, I found that the answer was wrong and that the correct answer is in fact 52. I do not know any other way of approaching this other than trial and error (which I am not the biggest fan of).
If anyone has a simplified and accurate way of solving this, please reply. THANK YOU :)