Your daughter is twice as old as your son and half as old as you are In 22 years your son will be half your age So how old is your daughter?

To figure it out we need to set up algebraic equations relating everyone's current age:

x = Brother's age

2x = Sister's age

4x = Parent's age

Which means in 22 years:

x+22 (Brother)= (4x+22)(Parent)/2

Multiply both sides by 2

2x+44 =4x+22

Divide both sides by 2

x+22=2x+11

Subtract 11 from both sides

x+11 = 2x

Subtract x from both sides

11 = x

Mary is now 22 yrs old, her brother is 11, and her parent is 44 yrs old. In 22 years, her brother will be 33 and her parent will be 66, while Mary will be 44 yrs old.