Question

sum of two digits of a two-digit number is 17 if the digit are reversed the new number so formed increased by 9 find the number and the answer is 89. plz solve the sum.​

Answer 1

Heya mate !!

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 !!

Answer 2

Answer:

89.

Step-by-step explanation:

Let the ten's digit be x and one's digit be y.

As per the question,

x + y = 17

=> x + y - 17 = 0 ----(1)

10y + x = 10x + y +9

=> 9x - 9y + 9 = 0

=> x - y + 1 = 0 ----(2)

Solving the equations, x = 8 & y = 9.

Therefore, the number is 89.

Please mark it as the brainliest answer for this question.