A serial memory (shift register) is ideal for a serial machines. For addition/subtraction. just use little endian format circulating in two or more shift registers. First, add the LSB from the registers, store the sum into the second (or third) shift register LSB. Store the carry bit into a single (tube) flip-flop.
Shift the registers one bit position. Add the next bits and the carry from the carry flip-flop. Continue with next bits.
This is how handheld calculators work. Some are pure 1 bit variants or
4 bit (BCD) wide registers are used.The shift register should be as long as the word length (16 to 40 bits) so that the LSB it is ready for the next instruction cycle. The problem with the 64 us delay is that it also sets the machine cycle or just 15625 instructions/second. A 64 to 128 bit capacity is sufficient, since it allows some dead time for instruction decode etc. before next arithmetic operation restarts. A shorter delay time would be desirable (e.g. some mercury delay lines) to allow a shorter instruction cycle.