SOLUTION: a positive integer is 10 more than 6 times another. their product is 464. find the two integers
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Question 983136: a positive integer is 10 more than 6 times another. their product is 464. find the two integers
Answer by ikleyn(52775) (Show Source): You can put this solution on YOUR website!
Let x be the first unknown integer and y be the second unknown integer.
Then you have two equations
.
To solve the system, substitute the first equation into the second one. You will get
(6y + 10)*y = 464.
Simplify and solve it:
+ = ,
+ - = ,
= = = = ,
= = = = .
Only first root satisfies the condition of the problem (is integer).
Answer. The two integers are 8 and 6*8+10 = 58.
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