the two digit number is equal to thrice the sum of its digits.The difference between the number obtained by interchanging the number and the original number is 45. Find the number.
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Let the number be XY.
Given, 10X + Y = 3(X + Y)
7X - 2Y = 0 ____(1)
Given, (10Y + X) - (10X + Y) = 45
Y - X = 5 ____(2)
(1) + 2×(2) gives 5X = 10. X = 2. So, Y = 7
Therefore the number is 27
Given, 10X + Y = 3(X + Y)
7X - 2Y = 0 ____(1)
Given, (10Y + X) - (10X + Y) = 45
Y - X = 5 ____(2)
(1) + 2×(2) gives 5X = 10. X = 2. So, Y = 7
Therefore the number is 27
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