Quickly thinking about it, I know three choices:
1) Microcontroller
2) 1K 8 bit EPROM with two 7447 BCD seven segment display drivers
3) Use two pairs of 74147 and a 7447.
Option 1: Self explanatory
Assuming push-on/push-off pushbuttons:
Option 2: I have done this and is a pretty intersting use of an EPROM. You'll need one with 14 bit input and 8 bit storage. You'll encode the 14 bits in to correspond with two four bit outputs. For example, 11 would be 0001 00000 00001 input (memory address) and 0001 0001 out (value). For 27, 0010 00000 00010 input (memory address) and 0010 0111 output (value).
Option 3: The simpliest. The 74147 is a decimal to BCD encoder and the 7447 is a BCD to seven segment display driver. You'll need two pairs, one pair for each digit.
If they're momentary push buttons, then you'll need to set up two latches (74573) and or each of the input lines to a one shot to drive the clock signal. The 74573 outputs can then be used to drive the encoder and driver circuitry of options 2 or 3.