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Bogdan [553]
3 years ago
7

Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two

-digit number,
four times the sum of its two digits is 21 less than the reversed two-digit number.
(Hint: You can use variables to represent the digits of a number. If a two-digit number has the digit x in tens place and yin one's place, the
number will be 10x + y. Reversing the order of the digits will change their place value and the reversed number will 10y + x.)
The difference of the original two-digit number and the number with reversed digits is
Mathematics
1 answer:
postnew [5]3 years ago
3 0

Answer: 9

Step-by-step explanation:

let the two-digit number has the digit 'x' in ten's place and 'y' in one's place.

So, The Original Number will be 10x+y and the Reversed Number will be 10y+x.

Now, According to the given information :

⇒ 5(x+y) + 13 = 10x + y

⇒ 4y + 13 = 5x                                                   ......(equation 1)

and,

⇒ 4(x+y) + 21 = 10y + x

⇒ 6y - 21 = 3x                                                    ......(equation 2)

By solving equation 1 and 2, we get

y = 8 and x = 9

Hence,

The Original Number = 10x + y =  10×9 + 8 = 98

The Reversed number = 10y + x = 10×8 + 9 = 89

and,

The difference of the original two-digit number and the number with reversed digits is ( 98 - 89 ) = 9.

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3 years ago
Please help! I really need it
nirvana33 [79]
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If 3 servings is 5 cups, how many servings is 15 cups
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8 0
3 years ago
1
horsena [70]

Answer:

t=5 dollars per t-shirt

Step-by-step explanation:

<em>Read the problem and write your equation while following along with it</em>

We have 8 t-shirts

Lets 8 t-shirts be represented by 8t

So for our equation we will place and 8

<h3>Our equation: 8t</h3><h3 />

Now it says we have a coupon that subtracts 4 dollars from our total

<h3>Our equation: 8t-4</h3><h3 />

The final part to add to our equation says that our total before tax was 36 dollars

<h3>So here is our equation: 8t-4=36</h3><h3 />

<em>add </em>$4<em> to both sides</em>

8t=40

<em>Divide both sides by</em> 8

t=5 dollars per t-shirt

-Side note, make sure to spell your question right. It was a tad bit confusing to read at the start.

-Brainliest please :)

4 0
3 years ago
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