Question

sum of the digits of a two digits number is 10.the number obtained by reserving the digits is 36 grater than the original number find the number
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Answer 1

Step-by-step explanation:

let the no. is 10x+y.

sum of the digits of a two digits number is 10

A/q

x+y = 10....(1)

After reversing the digit, it become 10y+x.

number obtained by reserving the digits is 36 grater than the original number,

A/q

10y+x = 10x+y + 36

=> 9y - 9x = 36

=> 9(y-x) = 36

=> y-x = 4

=> y = 4+x ......(2)

Now put eq. (2) in (1).

x + 4+x = 10

=> 2x = 6

=> x = 3

So, y = 4+x = 4+3 = 7

So the original no. is 37.