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If the sum of two numbers is 19 and their product is 88, what is the

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Bunuel
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If the sum of two numbers is 19 and their product is 88, what is the [#permalink] New post   17 May 2018, 04:58
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If the sum of two numbers is 19 and their product is 88, what is the difference between the numbers?

A) 2

B) 3

C) 4

D) 5

E) 6
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B
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Abhishek009
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Re: If the sum of two numbers is 19 and their product is 88, what is the [#permalink] New post   17 May 2018, 11:00
Bunuel wrote:
If the sum of two numbers is 19 and their product is 88, what is the difference between the numbers?

A) 2

B) 3

C) 4

D) 5

E) 6


\(a + b = 19\)
\(ab = 88\)

Or, \(a = 19 - b\)

So, We have : \((19 - b)b = 88\)

Or, \(b^2 - 19b + 88 = 0\)

Or, \(b^2 -11b - 8b + 88 = 0\)

Or, \(b(b - 11) -8(b - 11) = 0\)

So, \(b = 11\) and \(8\)

Thus, difference of the numbers is 3, answer must be (B)
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Re: If the sum of two numbers is 19 and their product is 88, what is the [#permalink] New post   17 May 2018, 15:41
Abhishek009 wrote:
So, We have : \((19 - b)b = 88\)

Or, \(b^2 - 19b + 88 = 0\)
Or, \(b^2 -11b - 8b + 88 = 0\)
Or, \(b(b - 11) -8(b - 11) = 0\)
So, \(b = 11\) and \(8\)

Thus, difference of the numbers is 3, answer must be (B)


I think that this is enough to stop here (19−b)b=88 and pick a number, rather than to solve quadratic equation. One of the aim of this forum is to teach people to use their time effectively.
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Re: If the sum of two numbers is 19 and their product is 88, what is the [#permalink] New post   19 May 2018, 09:39
we know a+b = 19
and ab=88

there aren't many numbers that can add to 19

so if we start from 10 and 9
10*9=190
11* 8 = 88 ( satisfies ab=88)
so 11-8 = 3
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Re: If the sum of two numbers is 19 and their product is 88, what is the [#permalink] New post   28 Feb 2019, 06:02
Bunuel wrote:
If the sum of two numbers is 19 and their product is 88, what is the difference between the numbers?

A. 2
B. 3
C. 4
D. 5
E. 6


a+b=19
ab=88
so
a=88b
solve
we get a=11,b=8
difference = 3
IMO B
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stne
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Re: If the sum of two numbers is 19 and their product is 88, what is the [#permalink] New post   07 Mar 2019, 10:04
Archit3110 wrote:
Bunuel wrote:
If the sum of two numbers is 19 and their product is 88, what is the difference between the numbers?

A. 2
B. 3
C. 4
D. 5
E. 6


a+b=19
ab=88
so
a=88b
solve
we get a=11,b=8
difference = 3
IMO B


sorry, did you mean a=\(\frac{88}{b}\) or a=88b? Please can you check.
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Re: If the sum of two numbers is 19 and their product is 88, what is the [#permalink]
07 Mar 2019, 10:04
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