The sum of digits of a two digit number is 7. When 27 is added to the number, the digits get reversed. Find the number.
25
52
B
45
54
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Answered by
5
Let the two digit be x & y.
GIVEN THAT
- x + y = 7 _(i)
- 10x + y + 27 = 10y + x _(ii)
Solving above Equation
- 10x + y + 27 = 10y + x
- 9x - 9y = -27
- x - y = -3
- 7 - y - y = -3 [x = 7-y]
- 2y = 10
- y = 5
- x = 7 - 5
- x = 2
Numbers are 2 & 5
Two-Digits Number → 25 or 52
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0
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