Question

6. The sum of the digits of a two-digit number is 17 and the difference between the digits is 1.what is the two digit number?​

Answer 1

Step-by-step explanation:

The number is 89.

Let the two digits be x, and y. The given conditions are:

x+y=17

10y+x=10x+y+9

So:

10y-y+x-x=10x-x+y-y+9

9y÷9=9x÷9+9÷9

y=x+1

If the sum of the digits (x+y) equals 17, then:

x+x+1=17

2x+1–1=17–1

2x÷2=16÷2

x=8, and so y=9 (8+9=17)

Now to check it:

10y+x=10x+y+9

10(9)+8=10(8)+9+9

98=89+9

So the number is 89.

Answer 2

Answer:The number can be both ,89 as well as 98

Your question is solved above