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The sum of John and Sally’s ages is 24. John is 6 years older than Sally. Which system of equations below represents this relationship and what are their ages? ASAP

The sum of John and Sallys ages is 24 John is 6 years older than Sally Which system of equations below represents this relationship and what are their ages ASAP class=

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absor201

J+S=24 and J=S+6 represents the relationship between ages.

John is 15 years old and Sally is 9 years old.

Step-by-step explanation:

Let,

John's age = J

Sally's age = S

According to given statement, the sum of their ages is 24;

[tex]J+S=24[/tex]    Eqn 1

John is 6 years older than Sally means we will add 6 in Sally's age;

[tex]J=S+6[/tex]     Eqn 2

Putting value of J from Eqn 2 in Eqn 1;

[tex](S+6)+S=24\\S+6+S=24\\2S=24-6\\2S=18[/tex]

Dividing both sides by 2

[tex]\frac{2S}{2}=\frac{18}{2}\\S=9[/tex]

Putting S=9 in Eqn 2

[tex]J=9+6\\J=15[/tex]

J+S=24 and J=S+6 represents the relationship between ages.

John is 15 years old and Sally is 9 years old.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/2652817
  • brainly.com/question/2654231

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