Question 657873
If x and y are the numbers, then the statements in the problem can be written as:

x+y=124
3/5x=y-36


I would solve this system of equations by substitution. To do this, solve one of the equations for one variable (we'll do that in the first equation for y). That gives you an expression for x that uses the other variable. We will then substitute that into the other equation and solve for the only variable that will be left in that equation.

x+y=124
x+y-x=124-x
y+0=124-x
y=124-x

Substitute this into the second equation.

3/5x=y-36
3/5x=(124-x)-36
3/5x=88-x
3/5x+x=88-x+x
8/5x=88
5/8*8/5x = 88*5/8
x = 55


Substituting this value for x into either of the two original equations lets you calculate that y must be 69. 

Substitute these values into both equations to make sure that they are really solutions.