Question

The ages of three siblings are all consecutive

Integers. The sum of their ages is 39. How old is
the youngest sibling?
​

Answer 1

12 year old is the youngest sibling

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
`(x+1)`

Age of 3rd sibling will be
`(x+2)`

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

⇒
`x+(x+1)+(x+2)= 39`

Opening the parenthesis

⇒
`x+x+1+x+2= 39`

⇒
`3x+3= 39`

Subtracting both side by 3

⇒
`3x= 39-3`

⇒
`3x= 36`

Dividing both side by 3

⇒
`x= (36)/(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.