Respuesta :

robinmccormicka
the numbers are 51 and 12.
x = 3y + 15
51 = (3 x 12) + 15
51 + 12 = 63
absor201

Answer:

The numbers are:

  • The smaller number = 12
  • The larger number  = 51

Step-by-step explanation:

Let 'x' be the smaller number

As the lager of two numbers is 15 more than three times the smaller. so,

The larger number = 3x+15

As the sum of the two numbers is 63, so the equation becomes

[tex]x + 3x + 15 = 63[/tex]

[tex]x+3x=63-15[/tex]

[tex]4x=48[/tex]

Divide both sides of the equation by

[tex]\frac{4x}{4}=\frac{48}{4}[/tex]

[tex]x = 12[/tex]

Therefore,

The smaller number = x = 12

The larger number  = 3x+15 = 3(12) + 15 = 36+15 = 51

Hence, the numbers are:

  • The smaller number = 12
  • The larger number  = 51

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