# Age Word Problems

## Grade 8 Math Worksheets

**Age Word Problems**

Age problems may involve one person or more than one person. If there is one person involved, then we can represent his age by an unknown variable and solve it.

For more than one person, we represent their ages by different variables and form equations, which can be solved to find the values of variables. Let us see this in detail below with the help of examples.

Age problems involving single person

*Example*: 8 years ago, if Addie’s age was one-third of the age he will be 12 years, what is his present age?

*x*years

Now read the question again and express the given information in terms of *x*.

8 years ago means *x* – 8

Addie’s age was one-third implies

In 12 years means after 12 years which means *x* + 12

Next write an equation, using the given information:

Multiply by 3 on both sides, 3(*x* – 8) = *x* + 12

3*x* – 24 = *x* + 12

Subtract *x* and add 24 on both sides, 3*x* – 24 – *x* + 24 = *x* + 12 – *x* + 24

2*x* = 36

Divide by 2 on both sides, we get *x* = 18** **

**Age problems involving more than one person**

*Example*: Amelia is three times as old as his son, Alvin. Alvin is 4 years older than his sister, Betsy. After 7 years, Amelia will be two times as old as Alvin. What is the present age of Alvin?

Let us assume that the present age of Alvin = *x* years

Amelia’s age = 3*x*

Betsy’s age = *x* – 4

After 7 years:

Alvin’s age = *x* + 7

Amelia’s age = 3*x* + 7 = 2(*x* + 7) {as it is given that Amelia will be two times as old as Alvin)

3*x* + 7 = 2(*x* + 7) implies 3*x* + 7 = 2*x* + 14

Subtract 2*x* and 7 from both sides, 3*x* + 7 – 2*x* – 7 = 2*x* + 14 – 2*x* – 7

3*x* – 2*x* = 14 – 7

*x ***=7 years**

**Check Point**

- After 15 years, Melinda will be two times older than her present age. What is her present age?
- In seventeen years, Perry will be 44 years old. How old is he now?
- Carol is 3 times as old as John today. Twenty years ago, Carol was 5 times as old as John. What is John’s present age?
- Richards is three times as old as his son, Gary. In 15 years, Richards will be only twice as old as Gary. What is Gary’s present age?
- Amanda’s age is five times as that of Bella. Ten years later, Amanda’s age will be thrice that of Bella. What is Amanda’s age?

##### Answer key

- 15 years
- 27 years
- 40 years
- 15 years
- 50 years

## Personalized Online Tutoring

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades 2-12, Test Prep help for Standardized tests like SCAT, CogAT, SSAT, SAT, ACT, ISEE and AP. You may schedule online tutoring lessons at your personal scheduled times, all with a Money-Back Guarantee. The first one-on-one online tutoring lesson is always FREE, no purchase obligation, no credit card required.

For answers/solutions to any question or to learn concepts, take a **FREE Demo Session**.

*No credit card required, no obligation to purchase. *

*Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!*

## Pricing for Personalized Online Tutoring

Tutoring Package | Validity | Grade (1-12), College |
---|---|---|

5 sessions | 1 Month | $119 |

1 session | 1 Month | $24 |

10 sessions | 3 months | $229 |

15 sessions | 3 months | $339 |

20 sessions | 4 months | $429 |

50 sessions | 6 months | $999 |

100 sessions | 12 months | $1949 |

## IN THE NEWS

Tutoring

Test Prep

Worksheets

Pricing

About Us

Blog

Free Trial

Login

Terms of service

Privacy Policy

Money Back Guarantee

Technical requirements

FAQs

Job Opportunities

Sitemap

**Connect with us**

+1-269-763-4602

+1-269-763-5024

**Online test prep and practice**

SCAT

CogAT

SSAT

ISEE

PSAT

SAT

ACT

AP Exam

**Science Tutoring**

Physics Tutoring

Chemistry Tutoring

Biology Tutoring

**Math Tutoring**

Pre-Algebra Tutoring

Algebra Tutoring

Pre Calculus Tutoring

Calculus Tutoring

Geometry Tutoring

Trigonometry Tutoring

Statistics Tutoring

©2021 eTutorWorld Terms of use Privacy Policy Site by Little Red Bird

©2021 eTutorWorld

Terms of use

Privacy Policy

Site by Little Red Bird