Question

the sum of digits of two digit number is 15.if the digits are reversed the number is 9 more than the original.find the number​

Answer 1

Answer:

this is the right answer for your question

Answer 2

Step-by-step explanation:

Let digit at unit place = x

digit at tens place = y

Number = 10y+x

so,

x+y = 15 --------------------------> (equation 1 )

If number reversed,

digit at unit place = y

digit at tens place = x

so ,

New Number will be = 10x +y

Given : New number is 9 more than the original number.

According to problem :

10x +y = 10y+x +9

9x-9y =9

x-y= 1 -------------------------> [Equation 2 ]

x=1+y

substitute x=1+y in equation 1

x + y =15

1+y +y =15

1+2y =15

2y =14

y=7

so x =8

So , original number is 78.