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. how old is the youngest brother?

The age of youngest brother is 21.

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.

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