7 times a 2 digit no. is equal to 4 times no. from reversing the digits the sum of digits is 3 . find no.
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Step-by-step explanation:
Let the given number be x at tenths place and y at ones place
Therefore the number will be = (10x+y)
According to the question
7(10x+y) =4 (10y+x)
70x +7y = 40y+ 4x
66x = 33y
2x=y
x = y/2
It is given that the difference between them is 3. Since x is less then
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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