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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