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Edad de Emma = y
PLANTEO DE LAS ECUACIONES
(1) (x-14) = 8/7 (y-14)
(2) y = x-5
(x-14) = 8/7 (y-14)
7(x-14) = 8(y-14)
7x -98 = 8y -112; sustituyendo y de la 1er ec
7x -98 = 8(x-5) -112
7x -98 = 8x-40-112
7x - 8x = -40-112+98
-x = -54
x = 54
y = x-5 = 54 -5
y= 49
Edad de Catalina = x = 54
Edad de Emma = y = 49
SEGUNDO EJERCICIO
1er numero = x
2do numero = x+1
PLANTEO DE LA ECUACIÓN
(x+1)² - x² = 567
x²+2x+1- x² = 567
2x = 567-1
x= 566/2
x= 283
1er numero = x = 283
2do numero = x+1 = 284