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# M11-02

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MBA Section Director
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12 Jun 2014, 02:07
If X is a three-digit integer, what is the value of its tens digit?

(1) The tens digit of X+8 is 5.

(2) The units digit of X+9 is 7.
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12 Jun 2014, 02:40
1
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Narenn wrote:
If X is a three-digit integer, what is the value of its tens digit?

(1) The tens digit of X+8 is 5.

(2) The units digit of X+9 is 7.

let the number be 100a+10b+c

st.1 ) if c=1 or 0; then tens digit will be 5 and if C=2 (or greater than 2)then tens digit will be 4
as different values of tens digit are possible for different values of c hence insufficient

st.2) C+9 will yield unit digit of 7, when C=8. Since no information is provided about tens digit hence insufficient

combining 1 and 2 we know that, if C is greater than or equal to 2 then tens digit is 4. hence sufficient.

Kudos [?]: 486 [1], given: 13

MBA Section Director
Status: Back to work...
Affiliations: GMAT Club
Joined: 22 Feb 2012
Posts: 4814

Kudos [?]: 3840 [0], given: 2461

Location: India
City: Pune
GMAT 1: 680 Q49 V34
GPA: 3.4

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12 Jun 2014, 02:48
Thanks for the explanation but I am still not able to interpret the statements correctly.

What does "The tens digit of X+8 is 5" mean? is it that 10b + 8 = 5 ? or what ?
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12 Jun 2014, 02:57
1
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Narenn wrote:
Thanks for the explanation but I am still not able to interpret the statements correctly.

What does "The tens digit of X+8 is 5" mean? is it that 10b + 8 = 5 ? or what ?

let's assume for the sake of simplicity that X is a two digit number 10b+c

then X+8= 10b+c+8

now if C=0 or 1, then ten's digit b will be 5 and possible answer could be 58 (10(5)+0+8) or 59 (10(5)+1+8)

if C=2 or greater than 2 ten's digit will be 4 because 2+8 will generate a carry of 1, now for b to become 5, it value must be 4

i hope it helps.

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12 Jun 2014, 04:46
1
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Expert's post
Narenn wrote:
Thanks for the explanation but I am still not able to interpret the statements correctly.

What does "The tens digit of X+8 is 5" mean? is it that 10b + 8 = 5 ? or what ?

x is some number and x+8 is also some number. For example, if x=150, the x+8=158 and its tens digit is 5.

Does this make sense?
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Kudos [?]: 135163 [1], given: 12664

MBA Section Director
Status: Back to work...
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Location: India
City: Pune
GMAT 1: 680 Q49 V34
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12 Jun 2014, 13:20
Thanks Manpreet and Bunuel. Got it now.
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Re: M11-02   [#permalink] 12 Jun 2014, 13:20
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# M11-02

Moderator: Bunuel

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