Jen is 28 year older than her daughter Olivia. In 12 years, Jen will be twice Olivia’s current age. How old are Jen and Olivia now?

Answer 1

J - current age of Jen

O - current age of Olivia

J = O + 28

(J + 12) = 2(O + 12)

(O + 28 + 12) = 2O + 24

O = 16

Then J = 44

Check:

16 + 12 = 28

44 + 12 = 56

56/28 = 2

Answer 2

Jen = Olivia + 28

Jen + 12 = 2 * Olivia therefore, Jen = 2 * Olivia - 12

Olivia + 28 = 2 * Olivia - 12

Olivia + 40 = 2 * Olivia (by subtracting 12 from each side of the equation)

40 = Olivia (by subtracting Olivia from each side of the equation

Therefore, Jen = 68 (Jen is Oliva + 28) and Olivia = 40

Note, in 12 years, Jen will be 80, which is twice Olivia's age now

Answer 3

J=Jen's age

D (daughter) = Oliiva's age

J = D +28

J+12= 2D

Subtract: 12 = D - 28

D = 40 J=68