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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation
3.13 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: 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 7 years and Dad is 42 years
Son is 4 years and Dad is 21 years
Son is 8 years and Dad is 37 years

Q 2: 5 years ago, Lisa was 2 times as old as Fred is now. 2 years ago, Lisa was 3 times as old as Fred will be in 2 years. How old are they now? (Hint: Let f and l be the present ages of Fred and Lisa respectively. The equations can be written as l-5 = 2f and l-2 = 3(f-2) find l and f)
Fred is 8 years and Lisa is 33 years
Fred is 9 years and Lisa is 23 years
Fred is 19 years and Lisa is 65 years

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Question 4: This question is available to subscribers only!


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