the sum of the page numbers of two facing pages of a book is 85 what are the page numbers of two facing pages of the book if the sun is not given but the product is given to be 1806 how will you find the page numbers??
Answers
Answered by
73
Let the pages be x and x+1
x+x+1 = 85
2x = 85-1
2x = 84
x = 84/2
x = 42
So the page numbers are 42 and 43
IF SUM IS NOT GIVEN AND PRODUCT IS GIVEN :
x(x+1) = 1806
x²+x-1806 = 0
By splitting middle term
x²+43x - 42x - 1806 = 0
x(x+43)-42(x+43) =0
(x-42)(x+43) = 0
x = 42
So the pages are 42 and 43
Hope it helps u : )
x+x+1 = 85
2x = 85-1
2x = 84
x = 84/2
x = 42
So the page numbers are 42 and 43
IF SUM IS NOT GIVEN AND PRODUCT IS GIVEN :
x(x+1) = 1806
x²+x-1806 = 0
By splitting middle term
x²+43x - 42x - 1806 = 0
x(x+43)-42(x+43) =0
(x-42)(x+43) = 0
x = 42
So the pages are 42 and 43
Hope it helps u : )
Answered by
31
HELLO.......FRIEND!!
THE ANSWER IS HERE,
Let the two page numbers be x & x+1.
If their sum is given.
=> x+x+1 = 85.
=> 2x+1 =85.
=> 2x =85-1 =84
=> x=42.
So, The pages are 42 & 43.
If the sum is not given but product is given,
=> x(x+1)=1806.
So, x= 42 & -43.
But page numbers are always +ve.
So, -43 is neglected.
So, The page numbers are 42 & 43.
:-)Hope it helps u.
THE ANSWER IS HERE,
Let the two page numbers be x & x+1.
If their sum is given.
=> x+x+1 = 85.
=> 2x+1 =85.
=> 2x =85-1 =84
=> x=42.
So, The pages are 42 & 43.
If the sum is not given but product is given,
=> x(x+1)=1806.
So, x= 42 & -43.
But page numbers are always +ve.
So, -43 is neglected.
So, The page numbers are 42 & 43.
:-)Hope it helps u.
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