When 36516 is divided by 456
we get remainder as 36
So the least number = 456 - 36 = 420
So 420 is the least number which should be added to the 36516 so that the new number is exactly divisible by 456.
I.e new number=36516 + 420 = 36936
and this is exactly divisible by 456
Let the 2 digit number be in the form of 10x+y where x and y intergers.
so according to question
2x-y=0 ......... (i)
And If 27 is added to the number the digits are reversed
9x-9y +27= 0
substracting (ii) from (i) we get
So x = 3
So the number is 36
Given the sum, the ratio of angle is 1:3:7:9. That is 20 parts is 360 degree (sum of the interior angles of a quadrilateral is 360 degrees). 1 part = 360/20=18 degrees. So the angles are
18, 3x18, 7x18, 9x18 that is 18, 54, 126 and 162 degrees