So the first thing we need to do is set up an equation (using x to represent the number). Then, we'll solve it to get the answer.
Step 1: Translate the word problem into an equation
Word problem: The sum of nine and six-tenths and a number is thirteen and two-tenths.
Equation:
+ x = ![13 \frac{2}{10}](https://tex.z-dn.net/?f=13%20%5Cfrac%7B2%7D%7B10%7D)
Step 2: Isolate x by subtracting
from each side
+ x -
=
- ![9 \frac{6}{10}](https://tex.z-dn.net/?f=9%20%5Cfrac%7B6%7D%7B10%7D)
Step 3: The numbers on the left cancel out, leaving x alone
x = ![3 \frac{6}{10}](https://tex.z-dn.net/?f=3%20%5Cfrac%7B6%7D%7B10%7D)
Step 4: Convert the answer to decimals
x = 3.6
This is an application of the pythagorean theorem.
c^2 = h^2 + b^2
c = 190
b = 102.5
h = ???
190^2 = h^2 + 102.5^2
16100 = h^2 + 10506.25
36100 - 10506.25 = h^2
25593.75 = h^2
sqrt(25593.75) = h
159.98 = h
It doesn't matter how many there are altogether.
All you need to know is that 15 is the fifth odd number,
and you need the third odd number.
So the one you want is 2 odd numbers back from 15. That's 11 .