
Example: Kayla would be onehalf as old as Nathan now, if Kayla were four years older. Nathan age is eight less than three times Kayla age. How old is Nathan? Solution: Let 'k' and 'n' stand for present ages of Kayla and Nathan respectively. k + 4 = (1/2) n + 4 n = 3k  8 k + 4 = (1/2) n + 4 2k + 8 = n + 4 2k = n  4 substituted n = 3k  8 in the above equation 2k = 3k  8  4 12 = k n = 3k  8 = 3 x 12  8 = 36  8 = 28 Nathan is 28 years old. Example: Eric was born 4 and onefourth years after Allison. The sum of their ages is 44 and eleventwelfth years. How old is Allison? Solution: Let 'e' be present age of Eric and 'a' be the present age of Allison. e = a + 4 1/4 e + a = 44 11/12 substituting e = a + 4 1/4 in the equation a + 4 1/4 + a = 44 11/12 2a + 4 1/4 = 44 11/12 2a = 44 11/12  4 1/4 2a = 44 11/12  4 3/12 2a = 40 8/12 2a = 40 2/3 a = 20 1/3 e = a + 4 1/4 = 20 1/3 + 4 1/4 = 20 4/12 + 4 3/12 = 24 7/12 Allison is 20 1/3 and Eric is 20 1/3 years old. Directions: Solve the following word problems. 