Question

Kanchan had 537 toffees. On her birthday she distributed among her friends the toffees in such a way that her each friend got as many toffees
as was the number of her friends. In doing so, 8 toffees were left with her. Total number of her friends is:​

Answer 1

$\underline{\underline{\red{\bf Answer }}}$

No. of Friends is 13 .

$\underline{\underline{\red{\bf Step \ by \ step \ Explanation :}}}$

Given that , Kanchan had 537 toffees. On her birthday she distributed among her friends the toffees in such a way that her each friend got as many toffees as was the number of her friends. In doing so, 8 toffees were left with her.

=> So , let us take the number of toffies be x . Then the number of friends will also be x .

=> And , no. of left toffes = 8 .

=> Total number of toffies distributed =x*x = x² .

According to Question ,

$=> x^2 + 8 = 537 \\=> x^2 = 537 - 8 \\=> x^2=529 \\=> x =\sqrt{529}\\\bf=> x = 13$

Hence the total number of Friends is 13 .