SOLUTION: I need help with this if someone could.
A positive integer is 33 more than 24 times another. Their product is 9291. Find the two integers.
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Question 1170839: I need help with this if someone could.
A positive integer is 33 more than 24 times another. Their product is 9291. Find the two integers.
Found 2 solutions by Alan3354, Theo:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A positive integer is 33 more than 24 times another. Their product is 9291. Find the two integers.
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Find a pair of factors of 9291 that fit.
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If you know about the quadratic equation, use that.
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You learn nothing by having someone do it for you.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let a be one of the integers.
let b be 33 more than 24 time the other.
your 2 equations are:
a * b = 9291.
a = 24 * b + 33
replace a with 24 * b + 33 in the first equation to get:
(24 * b + 33) * b = 9291
simplify to get:
24 * b^2 + 33 * b = 9291
subtract 9291 from both sides of the equation to get:
24 * b^2 + 33 * b - 9291 = 0
factor this quadratic equation to get:
b = -20.375 or 19.
b has to be an integer and has to be positive, so the answer is most likely b = 19.
replace b in the equation of a * b = 9291 to get:
a * 19 = 9291.
solve for a to get:
a = 9291/19 = 489.
replace a with 489 and b with 19 in the equation of a = 24 * b + 33 to get:
a = 24 * 19 + 33 = 489
both equations are satisfied when a = 489 and b = 19.
your solution is that the two integers are 489 and 19.
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