Problem of the Month - November 2023

A person starts at 5 and counts by 10s, so they count 5, 15, 25, …

Another person starts at 700 and counts by 3s, so they count 700, 703, 706, …

If they start at the same time and say their numbers at the same rate, who will get over 1000 first?

Solution

The person counting by 10s will get over 1000 first.  The person who is counting by 10s will be over 1000 after saying 101 numbers.  The person who is counting by 3s will be at 1000 after saying 101 numbers and will be over 1000 after saying 102 numbers

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