<h3><u>Question</u><u>:</u></h3>
<u>The difference between a 2-digit number and the number formed by reversing its digits is 45. If the sum of the digits of the original number is 13, then find the number. </u>
<h3><u>Statement</u><u>:</u></h3>
<u>The difference between a 2-digit number and the number formed by reversing its digits is 45. </u><u>T</u><u>he sum of the digits of the original number is 13</u><u>.</u>
<h3><u>Solution:</u></h3>
- Let one of the digit of the original number be x.
- So, the other digit = (13-x)
- Therefore, the two digit number = 10(13-x) + x = 130-10x+x = 130-9x
- The number obtained after interchanging the digits is 10x+(13-x) =9x+13
- Therefore, by the problem
130-9x-(9x+13) = 45
or, 130-9x- 9x-13 = 45
or, -18x = 45-130+13
or, -18x= -72
or, x = 72/18 = 4
or, x = 4
- So, the original number = 130-9x = 130 -9(4) = 130 - 36 = 94
<h3>Answer:</h3>
The number is 94.
I think the answer you have given isn't right. The answer should be 94.
ANSWER
The required equation is:
EXPLANATION
The given equation is
Dividing through by 225 we obtain;
This is a hyperbola that has it's centre at the origin.
If this hyperbola is translated so that its center is now at (0,5).
Then its equation becomes:
We multiply through by 225 to get;
We now expand to get;
The equation of the hyperbola in general form is
Answer:
Step-by-step explanation:
2p/2 = 2x+7
1) 2x+7 -x - 5 =
width = x + 2
2) 2p/2 = 21 in
x + 5 + x + 2 = 21
2x = 14
x = 7
lenght = 7 + 5 = 12 in
width = 7 + 2 = 9 in
3 )
A = (x+5)(x+2)
4)
A = 12 x 9 = 108
