SOLUTION: sam and jerry have ages that are consecutive odd integers. the product of their ages is 783. which could be an equation to find jerry's age, if he is the younger man

Algebra ->  Coordinate-system -> SOLUTION: sam and jerry have ages that are consecutive odd integers. the product of their ages is 783. which could be an equation to find jerry's age, if he is the younger man       Log On


   



Question 1032349: sam and jerry have ages that are consecutive odd integers. the product of their ages is 783. which could be an equation to find jerry's age, if he is the younger man
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If is an odd integer, then the next consecutive odd integer is . The product of the two is . You are given that this product is equal to 783. So:





Solve the factorable quadratic. The positive value of is the younger guy's age.

John

My calculator said it, I believe it, that settles it

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The general way to indicate an odd
number is:
+2n+%2B+1+ where +n+ can be any number
The next consecutive odd number would be:
+2n+%2B+3+
--------------------------
The product of their ages is 783
+%28+2n+%2B+1+%29%2A%28+2n+%2B+3+%29+=+783+
+4n%5E2+%2B+2n+%2B+6n+%2B+3+=+783+
+4n%5E2+%2B+8n+-+780+=+0+
+n%5E2+%2B+2n+-+195+=+0+
I notice that +195+=+13%2A15+ and
+15+-+13+=+2+ so,
+%28+n+%2B+15+%29%2A%28+n+-+13+%29+=+0+
+n+=+13+ ( age must be positive )
-------------------------------
Jerry's age is:
+2n+%2B+1+=+2%2A13+%2B+1+
+2n+%2B+1+=+27+
Jerry is 27
-------------
check:
Sam is:
+2n+%2B+3+=+2%2A13+%2B+3+
+2n+%2B+3+=+29+
and
+27%2A29+=+783+
OK