Write a proportion and solve for x ....
12 / x = 4 / 117
Cross multiply ...
12 * 117 = 1404
x * 4 = 4 x
4 x = 1404
x = 351
You can divide the whole expression by -3:

Recalling that

Let's compare the middle term:

So, we want to complete

Which differs from
by 16. So, if we add 16 to both sides, we have

Cot(3x)=3^(1/2)
cot(x)= cos(x)/sin(x)
cot(3x)= cos(3x)/sin(3x)
look at a unit circle chart
find a value for cos that has sqrt(3) in it
which one will reduce so that the cos/sin will equal sqrt(3)?
pi/6 radians
now cot(3x) implies that x is one third this value
pi/18 is the answer
I suppose you want to know such number. Since we have a two digit number consisting of two consecutive integers, the only possible numbers are:

Since we sorted all the cases out, we simply have to check which one satisfies the requirement. For each number, we'll write four times the the sum of its digits, and add 6, hoping to get the original number.



So, the answer is 34.