Question

Pls tell me the answer . I am only having 10 minutes

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if we subtract the didgit of a two digit number, we get 4. if we interchange the digits of the number and subtract the new number from the original number we get 44. What is the original number​

Answer 1

Assume that the two digits are x and y (x is at ones position and y is at tens position)

if we subtract the digit of a two digit number, we get 4.

this means,

x-y=4 ..................... (1)

if we interchange the digits of the number and subtract the new number from the original number we get 44.

this means,

old no. 10y+x

new no. 10x+y

10y+x-(10x+y)=44

10y+x-10x-y=44

9y-9x=44 ........................... (2)

solve the two equations:

id these two equations are solved, we get no solution.

meaning, such a number with these given conditions do not exist

Explanation: