the sum of the digits of a two number is 12. if the new number is formed by reversing the digits. is greater than the original numbers by 80. find the original number
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Explanation:
Let the 2 digits be x and y
According to que
x+y=12----------(1)
Let the original number be 10x+y
Number after reversing the digits =10y+x
According to the que
10x+y+80=10y+x
=9x-9y+80=0
=9x -9y=-80---------(2)
calculating value of x from 1
x=12-y
substituting value of x in2
9(12-y)-9y= -80
108-9y-9y=-80
108-18y=-80
-18y=-80-108
-18y=-188
y =188/18
y=94/9
substitute xin (1)
x=12-94/9
x=14/9
original number = 10x+y
10×14/9+94/9
140/9+94/9
234/9
26
26 is the original number
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