Seven times a two - digit number is equal to four times the number . obtained by reversing the order of its digit . if the difference between the digit is 3 , find the number .
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let the given number be x tenth place and y at ones place
Therefore the number will be ((10x+y)
acc to question
7(10x+y)=4(10y+x)
it is given that the difference between them is 3 since x is less than 70x+7y=40y+4x
66x=33y
2x=y
x=y/2
y-x=3
putting the value of x
y-y/2=3
y/2=3
y=6
therefore x=3
hence the original number is 36 and the reversed number be 63
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