Sum of digit of a two digit number is 8. If 180is added to the number the digit change there places. Find the number.
Anonymous:
Edit your question .It should be 18 not 180.
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Let unit digit is Y & Tens digit is X
X+Y =8.......1
Number
10×X +Y
ATQ
10X+Y +18= 10×Y +X
9X-9Y =-2
X-Y=-2..........2
subtracting eq 2 from 1
X+Y=8
X-Y = -2
2X= 6
X=3
&
Y= 5
So the number is (10×3 +5) =35
X+Y =8.......1
Number
10×X +Y
ATQ
10X+Y +18= 10×Y +X
9X-9Y =-2
X-Y=-2..........2
subtracting eq 2 from 1
X+Y=8
X-Y = -2
2X= 6
X=3
&
Y= 5
So the number is (10×3 +5) =35
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