Sum of a digit of the two digit number is 5. When we interchange the digit, it is found that the reasulting new number is less than then the original number by 27. What is the two digit number?
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Sum of the digits of a two digit number is 5. When we interchange the digits, it is found that the resulting new number is less than the original number by 27. What is the two digits number?
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Hungenahalli Sitaramarao Badarinath, Ph.D. in Civil Engineering. Maths keeps one mentally active.
Answered June 22, 2018 · Author has 27.2K answers and 14.3M answer views
Let the number be 10x+y
x+y = 5 …(1)
10x+y-(10y+x) = 27, or
10x-x-10y+y= 27, or
9x-9y = 27, or
x-y = 3 …(2)
Add (1) and (2)
2x= 8, or
x = 4 and y = 1
So the number is 41 and its subsidiary is 14 and the difference between them is 27 and the sum of the digits is 5