Question 21
Anna and Daniel compete against each other in badminton. For each set, the winner gets X marbles and the loser gets Y marbles (there are no ties with X and Y are natural numbers such that X > Y > 0). After some sets, Anna has 42 marbles and Daniel has 35 marbles. Given that Daniel has won exactly 2 sets, find the value of X.
Editorial convention: the stated totals are marbles earned from these sets, with no initial marbles.
Editorial convention: the stated totals are marbles earned from these sets, with no initial marbles.