SOLUTION: Roger's age is two times the age of his sister. Last year his age was three times the age of his sister. How old is Roger?

Algebra.Com
Question 652264: Roger's age is two times the age of his sister. Last year his age was three times the age of his sister. How old is Roger?
Answer by Shana-D77(132)   (Show Source): You can put this solution on YOUR website!
This year, Roger is R and Sister is S
Last year, Roger is R-1 and Sister is S-1
TODAY:
R = 2S
LAST YEAR:
R - 1 = 3(S - 1)
R - 1 = 3S - 3
Sub in 2S for R (because R = 2S)
2S - 1 = 3s - 3
S = 2. So sister is 2 this year, Roger is 4.
Last year, Sister was 1 and Roger was "three times her age" or 3.

RELATED QUESTIONS

Roger's age is two times the age of his sister. Last year his age was three times the age (answered by Shana-D77)
Roger's age is two times the age of his sister. last year his age was three times the age (answered by mhel12jhane)
Roger's age is two times the age of his sister. Last year his age was three times the age (answered by stanbon)
Roger is 5 years older than his sister, who is 2/3 the age of their brother Sam. Sam is... (answered by TimothyLamb)
if three times a boy's ages is increased by3, it will equal his sister's age. The sum of... (answered by ikleyn)
The sum of ahmed's age and his son age is 50. Last year ahmed was three times as old as... (answered by laoman)
Leo's age is 21 less than 2 times the age of his sister. If his sister is 23,how old is... (answered by josgarithmetic)
Age of brother is twice the age of his sister. 3 years back, age of brother was 3 times... (answered by ewatrrr)
Mike's age, decreased by the age of his 4 year-old sister, is 11. Mike's age, increased... (answered by TimothyLamb)