1.

The sum digits of the two-digit number is 17. The new number obtained by reversing the digits is 9 more than the original number find the number.​

Answer»

DIGIT at TEN - x

unit-y

original NUMBER 10x+y

interchange 10y+x

x+y=17....1.

10x+y+9=10y+x

9x-9y=-9

x-y= -1 ....2

divided both SIDES with 9

adding 1 and 2

x+y=17

x-y=-1

2x=16

x=8

put x=8 in 1

8+y=17

y=9



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