Systems of Equations Word Problems
To solve systems of equations word problems, we can delegate certain variables to subjects mentioned in the word problem. From there, we can form equations based on the given values.
Solving the Question
Let a be the older sibling's age and b be the younger sibling's age.
We're given:
- a + b = 55 years old
- b + 9 years = a
All we've done so far is translate the given sentences into equations. Now, we have to solve for b, which is the age of the youngest sibling. Solve using substitution:
[tex]a+b=55\\(b+9)+b=55\\b+9+b=55\\2b+9=55\\2b=46\\b=23[/tex]
Therefore, the younger sibling is 23 years old.
Answer
23 years old.
