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A = el mayor
B = el menor
A - B = 7
(A +B) B = 184
A = 7 +B
usando esta relacion en la ecuacion (A+B)B = 184
(7+B+B)B= 184
(7+2B)B = 184
7B + 2B^2 = 184
2B^2 +7B - 184 = 0
Usando la formula para resolver la ecuación cuadrática
a=2 , b= 7 , c = -184
B = {-b + raiz cuadrada (b^2 -4ac)}/2a
B = {-7 + raiz cuadrada {( 49 - 4(2)(-184)}/4
B = {-7 + raiz cuadrada (1521)}/4
B = {-7 + 39}/4
B = ( 32) /4
B = 8
A = 7 + B
A = 7 + 8 = 15
Los numero son 15 y 8
Comprobacion
Diferencia 15 - 8 = 7
Suma multiplicada por el menor
(15+8)(8) = 184
23(8) = 184
184 = 184