Question

If the 4 digit number x27y is exactly divisible by 9 then value of (x+y) is

Answer 1

Answer:

the sum of x&y should be a 9 multiple

Step-by-step explanation:

Test of divisibility for 9 : Sum of all digits of the number should be a multiple of 9

given, a 4 digit number x27y

as given, x27y is divisible by 9

=> x+2+7+y = 9m  (m be any natural number)

=> x+y = 9m - 9

=> x+y = 9(m-1)  

we know that 9(m-1) is also a multiple of 9

=> the sum of x&y should be a 9 multiple