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Question

The digit in the ten's place of a two-digit number is three times that in the one's place. if the digit are reversed the new number will be 36 less than the original number. Find the number.

A
64
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B
52
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C
62
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D
42
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Solution

The correct option is C 62
Let the digit in ten's place =t
digit at one's place be = s
Now,t=3s
Also, 10t+s(10s+t)=36
9t9s=36
ts=4
or, 3ss=4
s=2
and, t=3×2=6
Thus, the number is 62

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