What are the ages of Sheila, Steve and Nicole? Sheila's age is two years more than twice Nicole's age. The sum of their ages is the same as Steve's age. If Steve's age is 10 years less than five...
What are the ages of Sheila, Steve and Nicole?
Sheila's age is two years more than twice Nicole's age. The sum of their ages is the same as Steve's age. If Steve's age is 10 years less than five times Nicole's age, find the age of each person.
- print Print
- list Cite
Expert Answers
calendarEducator since 2010
write12,544 answers
starTop subjects are Math, Science, and Business
Let the age of Sheila be S, Nicole's age be N and Steve's age be T.
Sheila's age is 2 more than Nicole's age.
S = 2 + 2*N
The sum of Sheila and Nicole's age is the same as that of Steve
T = S + N
Steve's age is 10 less than 5 times the age of Nicole
T = 5*N - 10
Using the three equations we have derived, we can find S, T and N
Substituting S = 2 + 2*N in T = S + N
=> T = 2 + 2N + N = 2 + 3N
Substituting this in T = 5*N - 10
=> 2 + 3N = 5N - 10
=> 2N = 12
=> N = 12 / 2 = 6
T = 2 + 3N = 2 + 18 = 20
S = 2 + 2N = 2 + 12 = 14
The age of Sheila is 14 , Nicole is 6 years old and Steve is 20 years old.
Related Questions
- The sum of two numbers is 20. The larger number is four less than twice the smaller number. What...
- 2 Educator Answers
- The sum of ages of 5 children born at intervals of 3 years each is 50 years. What is the age of...
- 1 Educator Answer
- Leslie and Corey are brother and sister. Leslie is 5 years older than Corey, and the sum of their...
- 1 Educator Answer
- Mark is 4 years older than his sister. What are their ages if after 3 years Mark will be twice...
- 2 Educator Answers
- chris is 4 times the age of peter. sara is 6 years less than chris. the total age of chris,...
- 1 Educator Answer
Unlock This Answer Now
Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.