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# If a and b are two positive integers such that 9a*5b= 1035. What is

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Math Expert
Joined: 02 Sep 2009
Posts: 58335
If a and b are two positive integers such that 9a*5b= 1035. What is  [#permalink]

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28 Jan 2019, 02:51
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Difficulty:

45% (medium)

Question Stats:

50% (01:52) correct 50% (02:43) wrong based on 14 sessions

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If a and b are two positive integers such that $$9a*5b= 1035$$. What is maximum possible value of $$a-b=?$$

A. -23
B. -22
C. 1
D. 22
E. 23

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Joined: 31 Oct 2013
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Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If a and b are two positive integers such that 9a*5b= 1035. What is  [#permalink]

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28 Jan 2019, 03:03
Bunuel wrote:
If a and b are two positive integers such that $$9a*5b= 1035$$. What is maximum possible value of $$a-b=?$$

A. -23
B. -22
C. 1
D. 22
E. 23

Nice question.

9a*5b = 1035.

Note: a and b both are positive integers.

we are asked to find out maximum value of a - b.

In order to do so, a has to be max and b has to be minimum.

So, b=1.

9a * 5*1 = 1035

9a = 207

a = 23.

a - b = 23 - 1 = 22.

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Re: If a and b are two positive integers such that 9a*5b= 1035. What is  [#permalink]

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28 Jan 2019, 05:45
Bunuel wrote:
If a and b are two positive integers such that $$9a*5b= 1035$$. What is maximum possible value of $$a-b=?$$

A. -23
B. -22
C. 1
D. 22
E. 23

9a*5b= 1035
a*b=23
a=23 ; b=1
a-b = 22
IMO D
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Re: If a and b are two positive integers such that 9a*5b= 1035. What is   [#permalink] 28 Jan 2019, 05:45
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