Age problems

The purpose of this kind of lesson should be to show you how to solve Age problems. �

Problem 1

Kevin is 4 years more aged than Margaret. �

Next year Kevin will be twice as aged as Maggie.

How aged is Kevin? �

Solution�

Denote as Kevin's present age.

Then Margret's present age group is�. �

Next year Kevin will be years old, and Margaret can be years outdated. �

As next year Kevin will be 2 times as older as Margaret, you can write the equation�. �

Solve this kind of equation by simply simplifying that, step by step: �

(after brackets opening in the right side)

(after moving variable terms to the proper and regular terms to the left) (after combining like terms)�

As a result, you got that Kevin's present age is years. �

Verify.

If Kevin's present age is 7 years, then Margaret is years aged now. The coming year Margaret will probably be 4 years of age, while Kevin will be almost eight years old, meaning that next year Kevin will be twice as outdated as Maggie. The solution is correct. �

Solution. Kevin is definitely 7 years outdated now. �

Problem two

Ann is usually 2 years more aged than Betty. �

Last year Ann was two times as old as Betty.

How aged is Ann? �

Solution�

Denote as Ann's present era.

Then Betty's present age group is�. �

Last year Ann was years outdated, and Betty was years old. �

Since last year Ann was 2 times as older as Betty, you can write the equation�. �

Solve this equation by simply simplifying this, step by step: �

(after brackets opening at the right side)

(after moving variable terms to the correct and continuous terms towards the left) (after combining just like terms)�

Therefore, you got that Ann's present age is years. �

Verify.

If Ann's present grow older is 5 years, then simply Betty is years old today. Last year Ann was 5 years old, whilst Betty was 2 years outdated, which means that recently Ann was 2 times since old while Betty. The answer is correct. �

Answer. Ann is your five years old today. �

Difficulty 3

Susan is 3 years older than Tom. Two years in the past Susan was twice as aged as Tom. Find their particular present age groups. �

Solution�

Denote as Tom's age a couple of years ago.

In that case Susan's grow older was 2 years ago. �

Tom's age is at present.

Susan's age is at present. �

Since Leslie is 3 years older than Ben, you can write down thier equation. �

Solve this equation by simplifying this, step by step: �

(after combining like terms at the correct side)

(after moving variable terms towards the right and constant conditions to the left) (after incorporating like terms)�

Thus, you got that Jeff was years old two years in the past. �

Consequently, Susan was years old during that time.

At present, Ben is years outdated, and Leslie is years outdated. �

Solution. At present, Mary is 5 years old, and Susan is 8 years old. �

Issue 4

Jerry is 7 years older than Jennifer. In 3 years Jerry will probably be twice as outdated as Jennifer. Find all their present age ranges. �

Solution�

Denote as Jennifer's present era.

Then Jerry's present age group is�. �

In 3 years Jennifer's era will be�, while Jerry's age in three years will be�. Since in couple of years Jerry will probably be twice as aged as Jennifer, you can write the equation. �

Solve this equation by simply simplifying this, step by step: �

(after conference opening at the right side)

(after moving variable conditions to the right and frequent terms to the left) (after combining just like terms)�

Hence, you got that Jerry's present age is years. �

Hence, Jennifer's present age is years. �

In three years, Jerry will be years old, although Jennifer will be years outdated. �

Answer. At present, Jerry is 4 years old, and Jennifer can be 11 years old. �

Problem 5

A male has a little girl and a son.

The son is usually three years over the age of the girl.

In one year the man will be six period as aged as the daughter is now. In ten years the man will probably be fourteen years older than the combined ages of his children during that time. What is the man's present age? �

Solution�

Represent as the daughter's present age.

Then the boy's present grow older is�. �

Since in one year the person will be six time while old...