First we have to setup system of equations for the given case.
Let x is the original number and y is the reverse three digit number.
Then,
x+y=665 Equation 1
x-y=297 Equation 2
Add both equations to get.
2x=962
Divide both sides by 2.
x=481
This is the original number. And reverse number is : 481+y=962
y=184
Here Hundredth digit is 4, and tenth digit is 8 which is 2 times of the hundredth digit.
Answer: Number is 481
The product is 3 because -3/4 * -4 is 3
Simplify brackets
10x - 4 = 8x + 14
Add 4 to both sides
10x = 8x + 14 + 4
Simplify 8x + 14 + 4 to 8x + 18
10x = 8x + 18
Subtract 8x from both sides
10x - 8x = 18
Simplify 10x - 8x to 2x
2x = 18
Divide both sides by 2
x = 18/2
Simplify 18/2 to 9
<u>x = 9</u>
The answer is $1071.43.
EXPLANATION
First, you need to know that with regards to this problem, loan and interest sums at $450,000 ($100,000+$340,000).
Next, divide it by 35 in order to find how much the payments will be on a per year basis.
$450,000/35 = $12857.14
Finally, divide it by 12 to find the monthly payments.
$12857.14/12 = $1071.43