SOLUTION: One integer is 2 units more than another. If the product of the two integers is equal to five times the larger, then find the two integers.

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Question 1062096: One integer is 2 units more than another. If the product of the two integers is equal to five times the larger, then find the two integers.
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Let U = the larger integer
Let V = the smaller
-
U = V + 2 (1)
UV = 5*U (2)
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Subs V+2 for U from (1) into (2):
(V+2)V = 5(V+2)
+V%5E2+%2B+2V+=+5V+%2B+10+
+V%5E2+-+3V+-+10+=+0+
++%28V-5%29%28V%2B2%29+=+0+
+V=5+ or +V=-2+
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#1 V=5 —> U=7
#2 V=-2 —> U=0
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Check if either/both make sense:
#1: 5*7 = 35 = 5*5 (ok)
#2: -2*0 = 0 = 5*0 (ok)
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Answers:
#1. 5 and 7
#2. -2 and 0