Answer:
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 [tex]a-1.[/tex]
Let the age of middle one be [tex]a[/tex].
And the age of oldest brother age be [tex]a+1.[/tex]
According to question:
[tex](a+1)-2(a-1)=-19[/tex]
⇒ [tex]a+1-2a+2=-19[/tex]
⇒ [tex]-a+3=-19[/tex]
Adding [tex]a[/tex] on both sides we get:
⇒ [tex]2=-19+a[/tex]
Adding 19 on both sides we get:
⇒ [tex]22=a[/tex]
Now, getting the age of youngest brother by putting the value of [tex]a[/tex] :
[tex]a-1[/tex]
⇒ [tex]=22-1=21.[/tex]
Therefore, the age of youngest brother is 21.
