The sum of John and Sally’s ages is 24. John is 6 years older than Sally. Which system of equations below represents this relati

Question

4 years ago

10

onship and what are their ages? ASAP

1 answer:

tankabanditka [31] · Answer 1 · 2021-12-11T03:27:58+03:00

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;

$J+S=24$ Eqn 1

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

$J=S+6$ Eqn 2

Putting value of J from Eqn 2 in Eqn 1;

$(S+6)+S=24\\S+6+S=24\\2S=24-6\\2S=18$

Dividing both sides by 2

$\frac{2S}{2}=\frac{18}{2}\\S=9$

Putting S=9 in Eqn 2

$J=9+6\\J=15$

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

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