the sum of the digit of a two digit number is 9. if 9 is added to the number the digits interchange their places .find the number
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Let the number be 10x+y
According to the problem, x+y=9———————(i)
10x+y+9=10y+x
=>9x-9y+9=0
=>y-x=1———————(ii)
By adding (i) and (ii), we get
2y=10
=>y=5
Therefore, x=4
The number is 45
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According to the problem, x+y=9———————(i)
10x+y+9=10y+x
=>9x-9y+9=0
=>y-x=1———————(ii)
By adding (i) and (ii), we get
2y=10
=>y=5
Therefore, x=4
The number is 45
Mark me brainliest
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