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Problems on Numbers
The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
3
4
9
Cannot be determined
None of these
Correct Answer:
4
Explanation:
Let the ten's digit be
x
and unit's digit be
y
.
Then, (10
x
+
y
) - (10
y
+
x
) = 36
⟹ 9(
x
-
y
) = 36
⟹
x
-
y
= 4.
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