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After performing some operations, what number is your answer always a multiple of?

Multiple Magic

Stage: 3 Short Challenge Level: Challenge Level:1
See all short problems arranged by curriculum topic in the short problems collection

Think of any whole number. Double it and add five. Double this answer and add two. Now take away the number you first thought of. Which whole number will your final answer always be a multiple of?


If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.



This problem is taken from the UKMT Mathematical Challenges.