Question 257628
Let one number be x. other number = (50-x)
x^2=(50-x)^2 = 2050
x^2+2500-100x+x^2 = 2050
2x^2-100x+2500-2050=0
2x2-100x+450=0
x^2-50x+225=0             225=5*5*3*3
(x-5)(x-450=0             225=5*45  
x=5 or 45
smaller number = 5                      
larger number =45