Answer:
First number is 6
Second number is 2
Step-by-step explanation:
The trick is that we need to set up two equations. Nor simplicity's sake I'm going to say the first number is x and the second number is y.
First we know that the first number (x) is 4 less than the second number (y).
Less means subtraction.
x-4=y
Then we know that 4 times x is 14 more than 5 times the second. More is addition and times is multiplication.
4x=14+5y
Now we use substitution to find out what x (the first number) is, subbing x-4 in for y.
4x=14+5(x-4)
4x=14+5x-20
-x=-6
x=6
First number is 6
Lastly, we sub 6 back into one of the equations. It's easier to us the first equation.
x-4=y
6-4=y
2=y
The second number is 2
