This question was on the Maths olympiad a few days ago, and I have been stumped by it for a few days now. The question goes as follows:
I multiply two or more consecutive integers to obtain a six digit number, n. The first two digits of n are 4 and 7, and the last two are 7 and 4. (4 7 _ _ 7 4).
Work out n.
What I found especially hard was characterising the integers that multiply to form n. there are two or more integers, so how would you characterise this in a GCSE format, considering this is a year 10 paper.
Any help would be greatly appreciated