SOLUTION: Jake and Mele deliver newspapers. Jake has more newspapers to deliver than Mele. If Jake gave Mele 23 newspapers, they would have the same number of newspapers. If, instead, Mel

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Jake and Mele deliver newspapers. Jake has more newspapers to deliver than Mele. If Jake gave Mele 23 newspapers, they would have the same number of newspapers. If, instead, Mel      Log On


   

Question 1123172: Jake and Mele deliver newspapers.
Jake has more newspapers to deliver than Mele.
If Jake gave Mele 23 newspapers, they would have the same number of newspapers.
If, instead, Mele gave Jake 7 newspapers, Jake would then have twice as many as Mele.
How many newspapers does each person actually have?
Found 2 solutions by Boreal, josmiceli:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Jake has x, Mele y
x-23=y+23
(x+7)=2(y-7); x+7=2y-14; x-2y=-21
x-y=46
x-2y=-21
-x+2y=21
y=67 M.
x=113 J.


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
+j+%3E+m+
+j+-+23+=+m+%2B+23+
+2%2A%28+m+-+7+%29+=+j+%2B+7+
————————————
+j+-+m+=+46+
And
+2m+-+14+=+j+%2B+7+
+-j+%2B+2m+=+21+
Add the equations
+m+=+67+
And
+j+-+m+=+46+
+j-+67+=+46+
+j+=+113+
Merle has 67
Jake has 113
———————
Check:
+j+-+m+=+46+
+113+-+67+=+46+
+46+=+46+
And
+-j+%2B+2m+=+21+
+j+=+2%2A67+-+21+
+j+=+113+
OK