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Question Number 5531 by Rasheed Soomro last updated on 18/May/16

Once I opened an algebra-book.Instead  of individual page numbers there was  written:“sum of page numbers  infront  of you is x”.Determine the page numbers  in terms of x.

$$\mathrm{Once}\:\mathrm{I}\:\mathrm{opened}\:\mathrm{an}\:\mathrm{algebra}-\mathrm{book}.\mathrm{Instead} \\ $$$$\mathrm{of}\:\mathrm{individual}\:\mathrm{page}\:\mathrm{numbers}\:\mathrm{there}\:\mathrm{was} \\ $$$$\mathrm{written}:``{sum}\:{of}\:{page}\:{numbers}\:\:{infront} \\ $$$${of}\:{you}\:{is}\:\mathrm{x}''.\mathrm{Determine}\:\mathrm{the}\:\mathrm{page}\:\mathrm{numbers} \\ $$$$\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{x}. \\ $$

Commented by prakash jain last updated on 18/May/16

n+(n+1)=x  n=((x−1)/2)  page numbers are n and n+1

$${n}+\left({n}+\mathrm{1}\right)={x} \\ $$$${n}=\frac{{x}−\mathrm{1}}{\mathrm{2}} \\ $$$${page}\:{numbers}\:{are}\:\mathrm{n}\:{and}\:\mathrm{n}+\mathrm{1} \\ $$

Commented by Rasheed Soomro last updated on 19/May/16

Even better if final answer  is written as     Required page numbers:((x−1)/2),((x+1)/2)

$$\mathrm{Even}\:\mathrm{better}\:\mathrm{if}\:\mathrm{final}\:\mathrm{answer} \\ $$$$\mathrm{is}\:\mathrm{written}\:\mathrm{as} \\ $$$$\:\:\:\mathrm{Required}\:\mathrm{page}\:\mathrm{numbers}:\frac{{x}−\mathrm{1}}{\mathrm{2}},\frac{{x}+\mathrm{1}}{\mathrm{2}} \\ $$

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