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Answer:
The age of youngest brother is <u>21</u>.
Step-by-step explanation:
Given:
The ages of 3 brothers are represented by consecutive integers.
If the oldest brother's age is decreased by twice the younger brother's age, the result is -19.
Now, to find the age of youngest brother.
Let the age of youngest brother be
Let the age of middle one be .
And the age of oldest brother age be
According to question:
⇒
⇒
Adding on both sides we get:
⇒
Adding 19 on both sides we get:
⇒
Now, getting the age of youngest brother by putting the value of :
⇒
Therefore, the age of youngest brother is 21.