Sum of the digits of a two-digit number is 9. When the digits are interchanged the number will be decreased by 9.What is the number
Answers
Answered by
0
Let units place be 'x'
and tens place be 'y'
Therefore,the no. is 10y+x
By Qn,
x+y=9------(1)
Again By Qn ,
10x+y=10y+x-9
ie
9x-9y=-9
ie
x-y= -1 ------------(2)
(1)+(2)》2x=8
x=4
(2)》y=5
Thus the no. is 54
and tens place be 'y'
Therefore,the no. is 10y+x
By Qn,
x+y=9------(1)
Again By Qn ,
10x+y=10y+x-9
ie
9x-9y=-9
ie
x-y= -1 ------------(2)
(1)+(2)》2x=8
x=4
(2)》y=5
Thus the no. is 54
Similar questions