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Question 560242: the difference between two positive numbers is 7 while their product is 60. find the two numbers
Found 3 solutions by fcabanski, Maths68, rapaljer:
Answer by fcabanski(1391)   (Show Source):
You can put this solution on YOUR website! x-y=7 | The difference between them is 7.
x*y=60 | Their product is 60.
Solve the first equation for x, then substitute that value for x in the second equation to find y.
x=y+7
(y+7)*y = 60
y^2 + 7y = 60
y^2 +7y - 60 = 0
(y+12)(y-5)=0 | At this point you probably see the answer, but continue solving for y.
y+12=0 so y=-12
y-5 = 0 so y=5
Only y=5 is valid because the problem specifies positive numbers.
x-y=7 and now we know y=5
x-5=7
x=12
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Answer by Maths68(1474)  (Show Source):
Answer by rapaljer(4671)  (Show Source):
You can put this solution on YOUR website! Let x = smaller number
x+7= larger number
x(x+7) = 60
x^2+7x-60=0
If there is a solution to this, then it MUST factor:
(x+12)(x-5)=0
x=-12 Reject, since x must be a positive integer
x=5 Smaller number
x+7 = 12 Larger number
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