Respuesta :

Kalahira
Because the four numbers are consecutive, we can call the first one x, and the other three are x+1, x+2, and x+3, respectively. x * (x+1) = (x+2) * (x+3) - 38 x^2 + x = x^2 + 5x +6-38 x^2 + x = x^2 + 5x - 32 -4x = -32 x=8 The four numbers are 8, 9, 10, and 11 check solution: 8*9=10*11-38 72=110-38 72=72
calculista

Answer:

[tex]8,9,10,11[/tex]

Step-by-step explanation:

Let

x------> first natural number

x+1 ---> second consecutive natural number

x+2 ---> third consecutive natural number

x+3 ---> fourth consecutive natural number

we know that

[tex]x(x+1)=(x+2)(x+3)-38[/tex]

[tex]x^{2}+x=x^{2}+3x+2x+6-38[/tex]  

[tex]x^{2}+x=x^{2}+5x+6-38[/tex]

[tex]5x-x+6-38=0[/tex]

[tex]4x=32[/tex]

[tex]x=8[/tex]

therefore

The numbers are

[tex]8,9,10,11[/tex]

Otras preguntas