SOLUTION: A is 4 years older than b. The product of their ages is 45. How old is each?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A is 4 years older than b. The product of their ages is 45. How old is each?       Log On


   

Question 76039This question is from textbook Algebra 1 Expressions, Equations, and Applications
: A is 4 years older than b. The product of their ages is 45. How old is each?
 This question is from textbook Algebra 1 Expressions, Equations, and Applications

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
A=B+4 NOW SUBSTITUTE (B+4) FOR A IN THE FOLLOWING EQUATION & SOLVE FOR B
A*B=45
(B+4)B=45
B^2+4B-45=0
(B-5)(B+9)=0
B-5=0
B=5 ANSWER.
A=5+4
A=9 ANSWER
PROOF
9*5=45
45=45