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Question

Seven times a two digit number is equal to four times the number obtained by reversing the digits. If the difference between the digits is 3, find the number.
  1. 24
  2. 18
  3. 36
  4. 72

A
24
B
36
C
18
D
72
Solution
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Let the ones digit =x.
Tens digit =x3
The no. =10(x3)+x=11x30
The reversed no. =10x+x3=11x3
7(11x30)=4(11x3)77x44x=2101233x=198x=6
Tens digit =63=3
Therefore, the number is 36.

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