Question

sum of the two digit number 15 when we interchange the digits it is found that the resulting number is greater than the original number by 9 what is the two digit number.​

Answer 1

Answer:

78

Step-by-step explanation:

Let the 2-digit number be 10x + y

Given,

x + y = 15 ------(1)

Interchanged number = 10y + x

Given,

(10y + x) - (10x + y) = 9

9(y - x) = 9

y -x = 1 ------(2)

Solving (1) and (2),

x = 7 and y = 8

So,

N = 10x + y = 10×7 + 8 = 78