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Question

Sevwn times a two digit no. Is equal to four times the no. Obtained by reversing the digits .if the difference of the digit is 3 ,determine the no.

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Solution

Seven times a given two digit number is equal to four times the number obtained by inter changing the digits
7(10x+y)=4(x+10y)
70x+7y=4x+40y
66x-33y=0
2x-y=0
2x=y
The difference of the digits is 3
y-x=3
2x-x=3
x=3
y=6
that number is 36.

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