Question

A family has three children. The oldest child is 4 years older than the
middle child, and the youngest child is 2 years younger than the
middle child. The sum of the ages of the children is 26.
R
How many years old is the youngest child?
years old
Q

Answer 1

Answer:6 years

Step-by-step explanation:

Given

A family has 3 children

Suppose the age of  middle child is $x$

According to the question, Age of oldest child is $=x+4$

Eldest child age $=x-2$

Sum of the ages of children is $26$

$x+4+x+x-2=26$

$3x+2=26$

$3x=24$

$x=8$

Therefore age of youngest child is $x-2=8-2=6\ years$