Find the missing side lengths. Leave your radicals in simplest form.
2 answers:
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Answer:
The youngest brother's age is 21 years.
Step-by-step explanation:
Given:
The ages of 3 brothers are consecutive integers.
If the oldest brothers age is decreased by twice the youngest brother age the result is -19
To find the age of the youngest brother.
Solution:
Let the age of youngest broth be = years
The ages are consecutive integers.
So, age of the next older brother will be = years
The age of the oldest brother will be = years
The oldest brothers age is decreased by twice the youngest brother age.
The above statement can be represented as:
⇒
Simplifying.
⇒
⇒
The result for the above expression = -19.
So, we have:
Subtracting both sides by 2.
Multiplying both sides by -1.
∴
Thus, the youngest brother's age is 21 years