The first number is x
The second number is y
So according to the given condition the sum of these two numbers is 84, so we can write
x+y=84 ————-(1)
Again one of them is more than 12 than the other that's why we can write,
x+12=y -------------(2)
Now putting the values of y in equation (1) we get,
x+x+12=84
=>2x+12=84
=>2x+12–12=84–12
=>2x=72
=>2x/2=72/2
=>x=36
Taking the value of x in equation(2) we get,
36+12=y
=>y=48
The two numbers are 48 and 36.
Check:
48+36=84
=>84=84
Also 48 =36+12; which is more than 12 of 36.