Question

dos números consecutivos son tales que la tercera parte del mayor excede a la quinta parte del menor en 15 . El numero menor es :

Answer 1

Dos consecutivos 5x, 5x+1
1/3(5x+1)-1/5(5x)=15
(5x+1-3x)/3=15
2x+1=15
X=7
El menor es
7(5)=35

Answer 2

X = Numero menor
X + 1 = Numero Mayor consecutivo

(1/3)(X+1) = (X/5)  + 15

(1/3)X + (1/3) = (X/5) + 15

(1/3)X - (1/5)X = 15 - (1/3)

[(5(1) - (3)(1))/15]X = 44/3

(2/15)X = 44/3

(3)(2)(X) = 44(15)

6X = 660

X = 110.

X+1 = 111

(1/3)(111) = (110/5)  + 15

37 = 22 + 15

37 = 37.

Los numeros son 110 y 111