If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x + y =? , If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x + y =?

Solution

B. 6

Explanation

If the number is divisible by another number, it will be divisible by its factors too.

The factors of 80=2×5×8

For the number to be divisible by both 2 and 5, the last digit should be 0

So, y=0

So we can rewrite the number as 653×0

Now For the number to be divisible by 8; last 3 digits should be divisible by 8

So 3×0 should be divisible by 8

So, x can be either 2 or 6 since 320 and 360 are divisible by 8

If x=2; then the number becomes 65320 which is not divisible by 80

If x=6; then the number becomes 65360 which is divisible by 80

Hence the value of x=6

So, x+y=6+0 = 6