Sum of digits of a two digit number is 8. If their are interchanged ,the new number is increased by 18 than the original number. Find the original number.
Answers
Answered by
0
Step-by-step explanation:
Probable Digits are=
1+7=8/2+6=8/3+5=8/4+4=8
So the answer will be 35 as 53-35=18
Answered by
11
Solution :-
Let the two digit number = xy
According to the question
X+Y = 8 ........... [1]
And (X+10Y) +18 = (Y+10X)
=> 9X-9Y= - 18
=> 9 (X-Y) = - 18
=> X-Y = -2 .......... [2]
NOW ADD EQUA. [1] AND [2]
X+Y = 8 ........... [1]
X-Y = - 2 ........... [2]
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2X = 6
X = 3
NOW PUT THE VALUE OF X IN EQUA. [2]
X-Y = -2
3 -Y = -2
-Y= - 2 - 3
Y = 5
HENCE,
ORIGINAL NUMBER =XY =35 ANS.
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