SOLUTION: The sum of the ages of afraz and Sam is 33 years. In two years, 3 times Afraz's age will be one year less than 4 times sams age. How old is each now?

Algebra.Com
Question 1054931: The sum of the ages of afraz and Sam is 33 years. In two years, 3 times Afraz's age will be one year less than 4 times sams age. How old is each now?
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
A+S=33
3(A+2)+1=4(S+2). which means that if I add 1 to 3 times A's age in two years, I get 4 times S. age in 2 years.
3A+7=4S+8
But A=33-S
substitute
99-3S+7=4S+8
98=7S
S=14 now
A=19 now
In two years A will be 21 and 3 times that is 63. That is 1 year less than 4 times S. age, which is 64.

RELATED QUESTIONS

The sum of the ages of Fran and Laura is 33 years. In two years, 3 times Fran's age will... (answered by TimothyLamb)
the age of both lee and Sam is 50 years. in 5years time Sam will be 4 times the age of... (answered by ikleyn)
the age of both lee and Sam is 50 years. in 5years time Sam will be 4 times the age of... (answered by ikleyn,josgarithmetic)
Sam is 5 years older than Beth. In 2 years, Sam will be two times the age of Beth. How... (answered by Alan3354,pangjiu,MathTherapy,ikleyn)
Sam is X years old. His father is 3 times his age. What will the sum of their ages be in... (answered by stanbon)
Sam is x years old. Sam uncle is four times as old as sam will be in 5 years. Find the... (answered by FrankM)
Sam is x years old. Sam uncle is four times as old as sam will be in 5 years. Find the... (answered by ramkikk66)
The sum of Victor’s and Ellen’s age is 40 years. Victor’s age 10 years from now will be 1 (answered by oberobic)
Mom is 48 years older than Sam. In two years, his age will be thrice the age of his Sam.... (answered by ikleyn)