two siblings are 55 years old combined the youngest sibling is 9 years younger than the oldest sibling how old is the youngest s

Question

KonstantinChe [14]

2 years ago

9

two siblings are 55 years old combined the youngest sibling is 9 years younger than the oldest sibling how old is the youngest s

ibling

Mathematics

1 answer:

Troyanec [42] · Answer 1 · 2023-08-12T00:27:33+03:00

<h2>Systems of Equations Word Problems</h2>

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.

<h2>Solving the Question</h2>

Let <em>a</em> be the older sibling's age and <em>b</em> be the younger sibling's age.

We're given:

<em>a</em> + <em>b</em> = 55 years old
<em>b</em> + 9 years = <em>a</em>

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All we've done so far is translate the given sentences into equations. Now, we have to solve for <em>b</em>, which is the age of the youngest sibling. Solve using substitution:

$a+b=55\\(b+9)+b=55\\b+9+b=55\\2b+9=55\\2b=46\\b=23$

Therefore, the younger sibling is 23 years old.

<h2>Answer</h2>

23 years old.