SOLUTION: Hi me again. I mostly having trouble with word problems *Math worst subject*, anyway, with this I started than got confused: *When the digits of a two-digit number are reversed,

SOLUTION: Hi me again. I mostly having trouble with word problems Math worst subject, anyway, with this I started than got confused: *When the digits of a two-digit number are reversed,

Question 129940This question is from textbook algebra
: Hi me again. I mostly having trouble with word problems *Math worst subject*, anyway, with this I started than got confused:
*When the digits of a two-digit number are reversed, the new number is 9 more than the original number, and the sum of the digits of the original number is 11. What is the original number?*
I am always thankful, or gonna be thankful when you guys help me, I always wanted help with this algebra book. Thankfully I got it.
Please and Thank You=) This question is from textbook algebra

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let t=ten's digit of unknown number, u=unit's digit of unknown number

So our number is in this form

Now if the digits are reversed then our number becomes

Since the new number is 9 more than the original number, this means

Also, because the sum of the digits of the original number is 11, we know that

And solving for t, we get

Start with the third equation

Plug in and

Plug in . Notice how we now have one equation with one unknown

Distribute

Combine like terms on the left side

Combine like terms on the right side

Subtract 11 from both sides

Add 9u to both sides

Combine like terms on the left side

Combine like terms on the right side

Divide both sides by 18 to isolate u

Divide

So we know that the unit's digit is 6

Plug in

Subtract

So the ten's digit is 5

So the original number is 56 and the reversed number is 65

RELATED QUESTIONS
Hi. Im in gr.10 math and I was wondering if you could help me with this question. Also,... (answered by stanbon)

Its me again. I am having trouble with this equation w=(ma+kx)d, solve for x when the (answered by rapaljer)

I have trouble with negative word... (answered by Alan3354)

Hi! I'm an algebra one student and I am having trouble with word problems. My teacher has (answered by richard1234)

Hi , i need help with word... (answered by Edwin McCravy)

I am having trouble with this problem and can't get started would you please help me.... (answered by Alan3354)

Hi i am having trouble with this problem the directions say "change each exponential... (answered by stanbon)

Hello, Can you please show me how to solve x + 4/3x = 560 step by step in the simplest (answered by checkley77)

Hi, my name is Brandon Jones. I'm in the 12th grade and I'm taking AP Calculus. School... (answered by ankor@dixie-net.com,Theo)