John is currently two years older than half of his father's age in years. In 12 years, John will be two-thirds his father's age. How many years younger will John be then compared to his father's age now?

**x = father's age now**

x/2 + 2 = John's age now{John is currently 2 years older than half his father}

x/2 + 2 = John's age now

**x + 12 = father's age in 12 years**{added 12 onto current age}

**x/2 + 14 = John's age in 12 years**{added 12 onto current age}

(x/2) + 14 = (2/3)(x + 12) {in 12 years John will be 2/3 his father's age}

3x + 84 = 4(x + 12) {multiplied entire equation by 6 to eliminate fractions}

3x + 84 = 4x + 48 {used distributive property}

x = 36 {subtracted 3x and subtracted 48 from each side}

x/2 + 2 = 20 {substituted 36, in for x, into x/2 + 2}

**John is 20**

father is 36

father is 36

**- Algebra House**