Given:
y is proportional to x.
y=10 and x=8.
To find:
The constant of proportionality and the equation for the proportional relationship.
Solution:
y is proportional to x.

...(i)
Where, k is the constant of proportionality.
Putting y=10 and x=8, we get



Putting
in (i), we get

Therefore, the contestant of proportionality is
and the equation for the proportional relationship is
.
From the Special Triangle Theorem, the hypotenuse is equal to the side lengtht times the Sqrt(2).
So hypotenuse H = xSqrt(2), x=H/Sqrt(2).
Using numbers, if H = 7, then x = 7/Sqrt(2) = 7Sqrt(2)/2 to rationalize it.
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.
There are infinity answers to this.
But, if we are talking whole numbers, there are none
59 is prime
:)