Question

sum of the digits of a two-digit number is 5. when we interchange the digits, it is found that the resulting new number is less than the original number by 27. what is the two-digit number?

plz help me out☝️​

Answer 1

Step-by-step explanation:

Sum of the digits of a two digit number is 5. When we interchange the digits, it is found that the resulting new number is less than the original number by 27. What is the two digits number?

Let the number be 10x+y

x+y = 5 …(1)

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

10x-x-10y+y= 27, or

9x-9y = 27, or

x-y = 3 …(2)

Add (1) and (2)

2x= 8, or

x = 4 and y = 1

So the number is 41 and its subsidiary is 14 and the difference between them is 27 and the sum of the digits is 5.