Eleanor has two children, jake and julie. jake is 4 years older than julie and the sum of hteir ages is 22 how old are the children

We need to develop an equation with only one variable in it so that we may begin to work out each age.

Let x be the age of Julie, such that Jake = x + 4

x + (x + 4) = 22 (sum of their ages)

2x + 4 = 22

2x = 18

x = 9

So, Julie is 9 years old and Jake is 13 years old.