Question

The sum of the digits of a 2-digit number is 10. The number obtained by
interchanging the digits exceeds the original number by 36. Find the original
number.​

Answer 1

Answer:

37

Step-by-step explanation:

X + Y = 10 and

10Y +X - (10X +Y) =36

and (2) becomes

9Y - 9X = 36 or

Y - X = 4 then adding (1) and (2)

We get

2Y = 14 or Y = 7 and subbing this in (1) we get

X = 10 - 7 = 3

and we have the same result and our original 2 digit number is 37.