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Jona is thinking of two numbers. One number is 18 more than twice the other number. The sum of the numbers is 48. What two numbers is Jona thinking of?

Respuesta :

Answer:

Two numbers are 38 and 10

Step-by-step explanation:

Let x  and y are the two numbers

One number is 18 more than twice the other number.

[tex]y=2x+18[/tex]

The sum of the numbers is 48.

[tex]x+y=48[/tex]

Plug in y =2x+18

[tex]x+2x+18=48[/tex]

[tex]3x+18=48[/tex]

Subtract 18 from both sides

[tex]3x=30[/tex]

divide both sides by 3

x=10

[tex]y=2x+18[/tex]

[tex]y=2(10)+18=38[/tex]

Two numbers are 38 and 10

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