Discussion :: Problems on Numbers
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What is the two-digit number?
I. The difference between the two digits is 9.
II. The sum of the digits is equal to the difference between the two digits.
A.
I alone sufficient while II alone not sufficient to answer |
B.
II alone sufficient while I alone not sufficient to answer |
C.
Either I or II alone sufficient to answer |
D.
Both I and II are not sufficient to answer |
E.
Both I and II are necessary to answer |
Answer : Option E
Explanation :
Let the tens and unit digits be x and y respectively. Then,
I. x - y = 9.
II. x + y = x - y.
From I and II, we get x - y = 9 and x + y = 9.
On solving, we get x = 9 and y = 0.
Required number is 90.
Thus, both I and II are needed to get the answer.
Correct answer is (E).
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