The sum of 2digit number and the numberformed by interchanging the digit is 132. if 12 is added to the number the number becomes 5times the sum of two digit.
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Let no. be 10x + y
So, 12+ 10x + y = 5(x+y)
or, 12 + 10x + y = 5x + 5y
or. 12 +5x = 4y
Again, 10x + y + 10y +x = 132
or, 11x + 11y = 132
or, x + y = 12
or, y = 12 - x
So, 12 + 5x = 4(12-x)
12 + 5x = 48 - 4x
or, 9x = 36
or, x = 4
So, y = 12-4 = 8
Answer:- Number is 10*4+8 = 48
So, 12+ 10x + y = 5(x+y)
or, 12 + 10x + y = 5x + 5y
or. 12 +5x = 4y
Again, 10x + y + 10y +x = 132
or, 11x + 11y = 132
or, x + y = 12
or, y = 12 - x
So, 12 + 5x = 4(12-x)
12 + 5x = 48 - 4x
or, 9x = 36
or, x = 4
So, y = 12-4 = 8
Answer:- Number is 10*4+8 = 48
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