Present age: x
Age six years ago: x - 6
Age in eight years: x + 8
Equation:
x - 6 = [tex] \frac{1}{2} [/tex] (x + 8)
x - 6 = [tex] \frac{1}{2} [/tex]x + 4
LCD: 2
(2)x - (2)6 = (2) [tex] \frac{1}{2} [/tex]x + (2) 4
2x - 12 = x + 8
2x - x = 8 + 12
x = 20
Leo is 20 years old now.
Check:
Present age: x = 20 years old
Age six years ago: x - 6 = 20 - 6 = 14 years old
Age in 8 years: x + 8 = 20 + 8 = 28 years old
Six years ago, Leo's age is half of his age in 8 years.
14 is half of 28.