Problem solving: Leann is two years younger than Rachel Rose is the same age as Luann if you add all their ages together, the sum is 29. How old is Luann?

Luann is 9 years old.

Step-by-step explanation:

Let,

x = Luann's age

y = Rachel

z = Rose

According to given statement;

x = y - 2

x = z

x + y + z = 29

Putting values

(y-2) + y + (y-2) = 29    (as z = x and x = y-2)

y -2 + y + y -2 = 29

3y - 4 = 29

3y = 29 + 4

3y = 33

Dividing both sides by 3

y = 11

Luann's age = 11 - 2 = 9 years

Thus,

Luann is 9 years old.

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