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01 Jul 2018, 20:41
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E
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71% (01:03) correct
29%
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What is the value of the two-digit positive integer XY, where X represents the tens digit and Y represents the units digit?
(1) The product of the digits is 12.
(2) The sum of the digits is 8.
(1) The product of the digits is 12.
(2) The sum of the digits is 8.
02 Jul 2018, 00:25
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The order of number is not mentioned so m not sure if we can assume z as the last no. And x as first.... so i think it should be C
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02 Jul 2018, 00:42
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Bunuel
What is the value of the two-digit positive integer XY, where X represents the tens digit and Y represents the units digit?
(1) The product of the digits is 12.
(2) The sum of the digits is 8.
(1) The product of the digits is 12.
(2) The sum of the digits is 8.
The problem ask for the value of two-digit integer XY which its value is 10x+y
Given these following statements
(1) The product of the digits is 12.
From this statement x*y=12 which there are many possible combinations
ex. x=2 and y=6, x=3 and y=4, and so on ---> Insufficient
(2) The sum of the digits is 8
From this statement x+y=8 which there are many possible combinations
ex. x=1 and y=7, x=2 and y=6, and so on ---> Insufficient
Combined (1) & (2), we have 2 equations to solve for x and y
\(x+y=8\)
\((x+y)^2=8^2\)
\(x^2+2xy+y^2=64\)
\(x^2+2*12+y^2=64\)
\(x^2+y^2=64-24\)
\(x^2+y^2=40\)
From these equations, the possible combinations are x=2 and y=6 or x=6 and y=2
These are still insufficient since the possible values of xy can be both 26 and 62
My answer is "E"
