7 times a two digit number is equal to 4 times the digit obtained by reversing the order of its digits to the difference of the digit is 3 determine the number
kunal2121:
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Let original number =(10x+y)
reversed number =(10y+x)
7 (10x+y)=4 (10y+x)
70x+7y=40y+4x
66x=33y
2x=y-------------->(1)
x-y=3---------->(2)
x=3
y=6
hence the number is 36.
reversed number =(10y+x)
7 (10x+y)=4 (10y+x)
70x+7y=40y+4x
66x=33y
2x=y-------------->(1)
x-y=3---------->(2)
x=3
y=6
hence the number is 36.
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