SOLUTION: kirra is two years older then reggie. reggie is six times as old as delia. the average of their ages is nine years and four months. how old is each of them?

Question 213985This question is from textbook
: kirra is two years older then reggie. reggie is six times as old as delia. the average of their ages is nine years and four months. how old is each of them? This question is from textbook

Found 2 solutions by Earlsdon, drj:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let K = Kirra's age, R = Reggie's age, and D = Delia's age.

K = R+2 "Kirra is two years older than Reggie." Rewrite as K = R-2
R = 6D "Reggie is six times as old as Delia."
K+R+D can be expressed as:
Simplify.
Multiply both sides by 3.
Subtract 2 from both sides.
Divide by 13.

Kirra is 14 years old, Reggie is 12 years old and Delia is 2 years old.
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
Kirra is two years older then Reggie. Reggie is six times as old as Delia. the average of their ages is nine years and four months. how old is each of them?

Step 1. Let x be the age of Delia. Let 6x be the age of Reggie. Let 6x+2 be the age of Kirra

Step 2. Let Average ages be A= years where 4/12=1/3 (4 months = 1/3 year)

Step 3. or

Delia's age. Then

Reggie's age

Kirra's age

Step 4. ANSWER: Delia is 2 years old, Reggie is 12 years old and Kirra is 14 years old.

As a check the average is

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
RELATED QUESTIONS
Robert is thrice as old Reggie. Reggie is 4 years older than Jane. If the sum of their... (answered by ewatrrr,josgarithmetic)
Can you please help me solve this problems: 1.) Erwin is 5 times older than john and... (answered by mangopeeler07)
Reggie is 5 years older than Lani. Five years ago the sum of their ages was 25. How old... (answered by stanbon)
Reggie is 5 years older than Lani. 5 years ago the sum of their ages was 25. How old are... (answered by mananth)
Reggie is 5 years old than laarni. five years ago, the sum of their ages was 25. how old... (answered by jojo14344)
Reggie is 5 years old than Lani. Five years ago the sum of their ages was 25. How old are (answered by alicealc)
Reggie has 2 sisters he is 4 years younger than his older sister who is 3 times older... (answered by josgarithmetic,ikleyn)
Randy is fou r times as old as Kenneth and Randy is 36 years older than Kenneth how old... (answered by ankor@dixie-net.com)
Mary is 15 years older than her sister Jane. Six years ago Mary was 6 times as old as... (answered by JulietG)