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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 4 years and Dad is 21 years
Son is 7 years and Dad is 42 years
Son is 8 years and Dad is 37 years

Q 2: Nancy's age is three times Mary's. If 20 is added to Mary's age and 20 is subtracted from Nancy's, their ages will then be equal. How old is each now?
Nancy is 45 and Mary is 15 years old
Nancy is 30 and Mary is 10 years old
Nancy is 60 and Mary is 20 years old

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Question 4: This question is available to subscribers only!


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