If the eight-digit number \(5a32465b\) is divisible by \(88\), then \(2a+ 5b =\)

88 = 8*11. Divisible by 8: last three digits 65b, and 656 = 8*82, so b = 6. Divisible by 11: (5+3+4+5) - (a+2+6+6) = 3-a must be a multiple of 11, so a = 3. Then 2a+5b = 6+30 = 36.