Question

the difference between a two digit number and the number obtained by reversing the digit is 54 for the digit is in the two digit number or even digit find the number​

Answer 1

let first number be 10a

let second number be b

10a+b -(10b+a) = 54

10a + b - 10b - a = 54

9a - 9b = 54

simplify, divide by 9

a - b = 6

:

If the ratio of the digit at unit's place to the digits at ten 's place is 1:3;

b/a = 1/3

cross multiply

a = 3b

In the 1st simplified equation, replace a with 3b

3b - b = 6

2b = 6

b = 3

find a

a = 3(3)

a = 9

:

93 is the number

:

what is the difference between the sum and the difference of the digits?

(a+b) - (a-b)

(9+3) - (9-3)

12 - 6 = 6