Question

The sum of the digits of a number is 13, and the difference between the number and that formed by
reversing the digits is 27: find the numbers.​

Answer 1

Answer:

Step-by-step explanation:

sum the digits of a number=13=x+y

10x+y-(10y+x)=27

9x-9y=27

x-y=3

x+y=13

2x=16

x=8 ;y=5(13-8)

therfore the number is 85,58

Answer 2

$\huge\underline\bold\blue {Answer: -}$

Lets assume a 2 digit number xy.

We can express xy as 10 × x+y

Now according to given scenario-

$x + y = 13....(1)$

Also,

$10 \times x + y - 10 \times y - x = 27$

This implies

$9 \times x - 9y = 27$

Hence

$x - y =3.....(2)$

Adding 1 and 2 we get -

$2 \times x = 16$

Hence x=8

Substituting x in (2) we get-

$y = 5$

Hence the 2 digit number that satisfies the conditions is 85.

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