The ages of three siblings are all consecutive
integers. the sum of their ages is 39. how old is
the youngest sibling?

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

 Age of 3rd sibling will be

next, forming an equation for the sum of sibling´s age.

⇒

Opening the parenthesis

⇒

⇒

Subtracting both side by 3

⇒

⇒

Dividing both side by 3

⇒

∴ 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.

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