The pages of a book are numbered from 1to n.When the page numbers of the book were added together one of the page number was added twice resulting in the incorrect sum of 1986 . If the number on the page that was added twice is `lambda` then `lambda` is.

One-third of a number when added to two-thirds of the number, gives 9. Find the number.

Find the least number which must be added to 5483 so that the resulting number is a perfect square.

Find the least number which must be added to 1205 so that the resulting number is a perfect square.

A book is published in three volumes, the pages being numbered from 1 onwards. The page numbers are continued from the first volume to the second volume to the third. The number of pages in the second volume is 50 more than that in the first volume, and the number pages in the third volume is one and a half times that in the second. The sum of the page numbers on the first pages of the three volumes is 1709. If n is the last page number, what is the largest prime factor of n ?

Two numbers are in the ratio 4 : 7 . If thrice the larger be added to twice the smaller, the sum is 59. Find the numbers.

A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?

The sum of the squares of two numbers is 233 and one of the numbers is 3 less than twice the other number. Find the numbers.

What number should be added to each of the three numbers, 3,11 and 27 so that the resulting numbers form a geomatric sequence ?

The mean of 12 numbers is 10. If one more number is added, the mean remains unaltered. Find the number that is added.

The mean of 9 numbers is 6. If one more number is added, the mean remains 6. Find the number that is added.