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### Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation3.13 Word Problems - Age - 5

 Example: Kayla would be one-half 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 one-fourth years after Allison. The sum of their ages is 44 and eleven-twelfth 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.
 Q 1: In 10 years, 2 times Wilma's age will be 30 less than Cathy's age now. Cathy's age in 2 years will be 3 times what Wilma's age was 2 years ago. Find their ages now. (Hint: Let w and c be the present ages of Wilma and Cathy. The equations can be written as: 2(w-10) = c-30 and c-2=3(w-2) Solve for c and w)Wilma is 21 years and Cathy is 71 yearsWilma is 14 years and Cathy is 68 yearsWilma is 15 years and Cathy is 69 years Q 2: Dad is six times as old as his son. In 3 years Dad will be five more than four times as old as his son. How old is each now?Son is 8 years and Dad is 37 yearsSon is 4 years and Dad is 21 yearsSon is 7 years and Dad is 42 years Question 3: This question is available to subscribers only! Question 4: This question is available to subscribers only!

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