Respuesta :
Value of n is 48
Step-by-step explanation:
Let the two digit number n be ab, where a and b less than 10 and greater than 0.
The sum of the digits in n is 12
That is
a + b = 12 --------------------------eqn 1
If the digits in n are reversed, the value of the number formed is 36 more than the value of n
ba - ab = 36 ----------------------eqn 2
Let us check all the cases satisfying eqn 1 satisfies eqn 2 also
If a = 1, b is 11 which is not possible
If a = 2, b is 10 which is not possible
If a = 3, b is 9 which is possible
Substituting in eqn 2
ab = 39 and ba = 93
93 - 39 = 54 ≠ 36
Not correct
If a = 4, b is 8 which is possible
Substituting in eqn 2
ab = 48 and ba = 84
84 - 48 = 36
Correct.
Value of n is 48
