Question

the sum of two digit number is 9. If 9 is added to it, the digit get reversed. Find the tens digit

Answer 1

Answer:

45

Step-by-step explanation:

let the number in tens place is x

let the number in unit place is y

the number will be 10x+ y

x + y = 9 equ (1)

10x + y + 9 = 10y + x

10x + y - (10y + x) = -9

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

9x - 9y = -9

9(x - y) = -9

x - y = -9/9

x - y = -1 equ (2)

adding (1) & (2)

2x = 8

x = 8/2

x = 4

substitute x= 4 in equ (1)

x + y = 9

4 + y = 9

y = 9 - 4

y = 5

the number will be 10x + y

= 10(4) + 5

= 40 + 5

= 45

hope you get your answer