If a 10-digit number 1230x558y2 is divisible by 88, then the value of (5x + 5y) is:

Given, 10-digit number 1230x558y2 is divisible by 88 then the number must be divisible by 11

If it is divisible by 11 then,

Sum of digits at even place - Sum of digits at odd place = 0 or multiple of 11

$$=$$>  (2+0+5+8+2)-(1+3+x+5+y) = 0 or multiple of 11

$$=$$>  17-9-(x+y) = 0 or multiple of 11

$$=$$>   8-(x+y) = 0 or multiple of 11

If 8-(x+y) = multiple of 11 then x+y is negative which is not a possible case

$$=$$>  8-(x+y) = 0

$$=$$>    x+y = 8

$$\therefore\ $$5x+5y = 5(x+y) = 5(8) = 40

Hence, the correct answer is Option A