Respuesta :

Answer:

8 and 17

Step-by-step explanation:

Let the second number be n.   Then n plus 2n+1 = 25, or 3n = 24.  Thus,

one number is n=8 and the other is 17.


The two numbers are 19 and 6.

It is given that,

  • The sum of the two numbers is 25.
  • One number is twice the second plus seven.

Explanation:

Let two numbers are [tex]x[/tex] and [tex]y[/tex].

[tex]x+y=25[/tex]        ...(i)

[tex]x=2y+7[/tex]     ...(ii)

Using (i) and (ii), we get

[tex](2y+7)+y=25[/tex]

[tex]3y=25-7[/tex]

[tex]3y=18[/tex]

[tex]y=6[/tex]

Substitute [tex]y=6[/tex] in (ii).

[tex]x=2(6)+7[/tex]

[tex]x=12+7[/tex]

[tex]x=19[/tex]

Thus, the two numbers are 19 and 6.

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