Question

The sum of the digits of a two digit number is 6. If the digits are reversed, the new number will be 36 greater than the original number. Find the number.
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Answer 1

Step-by-step explanation:

let the first digit be x and second digit be y

then number be 10x + y

according to question

x+y = 6 .....(1)

the new number be 10y+ x

10x+y + 36 = 10y+ x

10x-x + y -10y = -36

9x - 9y = -36

9(x - y) = -36

x- y =-36/9

x-y =-4 .....(2)

adding equations 1 and 2

x+y+x-y =6-4

2x=2

x=2/2

x=1

putting x in equations 1

x+ y = 6

1+y=6

y=6-1

y=5

number.

10×1 + 5=15

Answer 2

Answer:

15 or 51

Step-by-step explanation:

15 or 51 both the answers here are correct because it has asked the number not the original number or reverse number so if we calculate it the original number will be 15 and the reverse the number will be 51. So here both the answer are correct.