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what is the value of the two-digit positive integer n?

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Source: — Data Sufficiency |
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by theCodeToGMAT » Thu Oct 31, 2013 3:11 am
Is it [spoiler]{C}[/spoiler]?

To find: A B ?

Statement 1:
Sum is 12
4 + 8, 5 + 7,etc
INSUFFICIENT

Statement 2:
(10B+A) - (10A + B) = 36
9B -9A = 36
B-A = 4
Possible combinations : 9&5, 8&4, etc
INSUFFICIENT

Combining...
A+B=12
-A + B = 4

We can solve and get values.

SUFFICIENT

Answer [spoiler]{C}[/spoiler]
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by Uva@90 » Thu Oct 31, 2013 3:19 am
canbtg wrote:what is the value of the two-digit positive integer n?

1)The sum of the digits in n is 12

2)If the digits in n are reversed ,the value of the number formed is 36 more than the value of n
Hi Canbtg,

Let N = 10y+x

Statement1: Sum of digits in n is 12

So, x+y = 12

x and y can take multiple values.

Hence insufficient.

Statement2: If the digits in n are reversed ,the value of the number formed is 36 more than the value of n

10x+y =10y+x+36 => 9x-9y =36 => x-y=4

again x and y can take multiple values.
Hence Insufficient.

Combining 1 and 2

X+Y = 12
X-Y = 4

Solving above equation we get x = 8 and Y =4

hence number is 48
Sufficient.

Hence Answer is C

Regards,
Uva.
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