Question

The sum of the digits in a two digit number is 17. If the number formed by reversing the digits is less than the original number by 9, find the original number. NO IRRELEVANT ANSWERS PLEASE.

Answer 1

Answer:

Original number is 89

Step-by-step explanation:

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

therefore the Original number is 89.

hope this helps you