10. The sum of the digits of a two-digit number is 13. If 27 is added to the
number, the digits get interchanged. What is the number?
(1) 58
(2) 85 (3) 49 (4) 94
Answers
Answered by
19
Let two digit no. x and y
Given
x+y=13−−−(1)
xy+27=yx−−−(2)
⇒ 10x+y+27=10y+x
9x+27=9y
x+3=y−−−−−(3)
Adding (1) and (2)
2x=10
⇒ y=13−5=8
⇒ Number is 58
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