A company operates on two types of servers: 2 large servers (L) and 4 smaller servers (S), with a combined total of 64GB RAM. The other day a large server and a small server blew out reducing the total RAM to 40GB. How much RAM does each large server (L), and each small server (S) have

Let the size of a large server be L, and

the size of a small server be S.

We are given two scenarios,

2L+4S = 64 ... (1)

and

L+3S = 40 ... (2)

We solve the equations as follows

2 (2) - (1)

2L-2L + 6S-4S = 2*40-64

2S = 16

so S=8 ... (3), size of small server

substitute (3) in (2)

L+3 (8) = 40

L = 40-24 = 16 ... size of large server