let 'x' and 'y' be the first and the second number respectfully

the difference between the first number and two times the second number is -54:

x - 2y = -54

the sum of three times the first number plus twice the second is 94:

3x + 2y = 94

by solving the system of equations:

x - 2y = -54

3x + 2y = 94

we find

x = 10

y = 32

click here to see the step by step solution of the system of equations

the first number is 10.