A book is published in 3 volumes.the page numbers are continued from first volume to second volume to third
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Answer: 17
Step-by-step explanation: Let the number of pages in 1st volume be x
And the number of pages in the 2nd volume will be x + 50
The number of pages in the 3rd volume will be 3/2 (x + 50)
= 3/2x + 75
1st page of 1st volume = 1
1st page of 2nd volume = x + 1
1st page of 3rd volume = x + x + 50 + 1
= 2x + 51
1 + x + 1 + 2x + 51 = 1709
3x + 53 = 1709
3x = 1659 (we subtracted 1709 from 53)
x = 552 (we divided 1659 by 3)
So the last number of page = 3/2 x + 75 + x + x + 50
= 3/2 x 552 + 75 + 1154
= 828 + 75 + 1154
= 2057
We will take LCM of this
and we will get the LARGEST PRIME FACTOR WHICH IS 17
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