Answer: The number is 12.
Step-by-step explanation:
Since we have given that
Sum of two digits = 12
Let the one's digit be 'x'
Let the ten's digit be '12-x'
So, Original number would be

If 16 is added to the number, then one of the digit is four times the value of the other.
According to question, we get that

so, the one's digit be 'x'.
Let the ten's digit be '4x'.
so, New number would be

According to question, it becomes,

So, the number would be

Hence, the number is 12.
17 + y (?) .................................................
Answer:
a=b
Step-by-step explanation:
An antisymmetric relation () satisfies the following property:
If (a, b) is in R and (b, a) is in R, then a = b.
This means that if a|b and b|a then a = b
If a|b then, b can be written as b = an for an integer n
If b|a then a can be written as a= bm for an integer m
Now we have b = (a)n = (bm)n
b = bmn
1 =mn
But since m and n are integers, the only two integers that satisfy this property would be m = n = 1
Therefore, b = an = a (1) = a ⇒b = a