SOLUTION: three times joe's age is 6 more than twice andy's age. the sum of their ages is 32. find their ages

Algebra.Com
Question 1009620: three times joe's age is 6 more than twice andy's age. the sum of their ages is 32. find their ages
Answer by tiffany222(56)   (Show Source): You can put this solution on YOUR website!
Let Joe's age be x
Let Andy's age be y
3x = 2y + 6
x + y = 32
Rearranging the first equation:
3x - 2y = 6
x + y = 32
Multiply second equation by 3 to eliminate x:
3x - 2y = 6
3x + 3y = 96
Subtract:
-5y = -90
y = 18
Substituting y to find x:
x + y = 32
x + 18 = 32
x = 14
Final Answer:
Joe's Age = 14
Andy's Age = 18

RELATED QUESTIONS

I need help with this problem: Three times Nancy's age is 5 more than twice Rogers age.... (answered by oberobic,JBarnum)
Phoebe’s age is 5 more than twice her brother’s age 10 years ago. The sum of their... (answered by trevorgiehl)
Jan's age is three years less than twice Tritt's age. The sum of their ages is 30. Find... (answered by josgarithmetic)
Lucas is 9 years older than three times his son’s age. In 14 years, the age of Lucas... (answered by josgarithmetic)
Lucas is 9 years older than three times his son’s age. In 14 years, the age of Lucas... (answered by josgarithmetic,ikleyn)
Lee’s mother’s age is two more than three times Lee’s age, the sum of their ages is (answered by ikleyn)
Matt is five years older than twice his cousin Andy’s age. The sum of their ages is less... (answered by Alan3354)
Mary’s grandmother’s age is 11 years less than 9 times mary’s age. The sum of their (answered by ikleyn)
The sum of the ages of two sisters, Mary and Jane, is 24 years. Four years ago three... (answered by josgarithmetic,MathTherapy)