Respuesta :
Answer:
12 year old is the youngest sibling
Step-by-step explanation:
Given: The ages of three siblings are all consecutive integers.
The sum of sibling´s age is 39.
Now, finding the age of youngest sibling.
Lets assume the age of youngest sibling be "x"
As given, The ages of three siblings are all consecutive integers.
∴ Age of 2nd sibling will be [tex](x+1)[/tex]
Age of 3rd sibling will be [tex](x+2)[/tex]
next, forming an equation for the sum of sibling´s age.
⇒[tex]x+(x+1)+(x+2)= 39[/tex]
Opening the parenthesis
⇒ [tex]x+x+1+x+2= 39[/tex]
⇒[tex]3x+3= 39[/tex]
Subtracting both side by 3
⇒[tex]3x= 39-3[/tex]
⇒[tex]3x= 36[/tex]
Dividing both side by 3
⇒[tex]x= \frac{36}{3}[/tex]
∴ x= 12
Subtituting the value of x to find the age of other sibling
∴Youngest sibling age= 12 years
2nd sibling age= 13 years
3rd sibling age= 14 years
Hence, The youngest sibling is 12 years old.
