Question 21
Mrs Graaf invents a game for her students to practise arithmetic. They roll two 10-sided dice to pick two random numbers. Starting at one of the numbers, they keep adding the other number until they reach a 3-digit number.
Ian rolls a 5 and an 8. Starting with 5 and repeatedly adding 8 gives 5,13,21,…,93,101. Starting with 8 and adding 5 gives 8,13,18,…,98,103.
On Nara’s turn, she makes a list that ends with 107. What pair of numbers could she have rolled?

Ian rolls a 5 and an 8. Starting with 5 and repeatedly adding 8 gives 5,13,21,…,93,101. Starting with 8 and adding 5 gives 8,13,18,…,98,103.
On Nara’s turn, she makes a list that ends with 107. What pair of numbers could she have rolled?
