Answer to Question #23809 in Abstract Algebra for Amilyah
Xuxian and Rachel had the same number of marbles. After Rachel gave away 10 marbles and Xuxian gave away 22 marbles, Rachel had 3 times as many marble as Xuxian. How many marbles did each of them have at first
Let Xuxian and Rachel had X and R marbles first time. Then we can write down the system of equations:
X = R, R - 10 = 3(X - 22).
Let's solve it. Substituting the first equation into the second one we obtain: