1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
Algebra find the unknown digit to make each statement true 2.48>2.4 1>2.463
valentina_108 [34]

We have 2.48>2.4 1>2.463. If we insert a '7' between that 4 and 1, we get:

2.48 > 2.471 >2.463, and this is true.

8 0
3 years ago
A polynomial function with a leading coefficient of 1 and multiplicity 1 for each root has these zeros:
Gala2k [10]

Answer:

1.

x - 2 \sqrt{11}

2.

x + 2 \sqrt{11}

5.

x - 4

Step-by-step explanation:

It is correct on Edge!

Give thanks please!

6 0
3 years ago
A parabola opening up or down has vertex (0,0) and passes through (12, -18). Write its
denis-greek [22]
The equation is y= -1/8x^2
4 0
3 years ago
There is a dining room table with an area of 28 square feet. The length is 3 feet longer than the width. What is the width of th
Ivahew [28]

The width is 4 ft and the length is 7 feet

3 0
3 years ago
The figure below has a volume of 60 cubic units. How many more cubes will it take to fill the figure?
jolli1 [7]

Answer:

40 cubic units

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • the amount of rhubarb in the original is 3 1/2 cups using what you know of whole numbers and what you know of fractions explain
    5·1 answer
  • Solve each equation 8x+11=2(4x-7)+25
    15·2 answers
  • Solve for zzz. 42=-7(z-3)42=−7(z−3)
    9·1 answer
  • Which expression represents the product of 3 and (5/4n + 1.8)? (SHOW WORK PLEASE)
    11·2 answers
  • How long will it take a vehicle to travel 480km at a speed of 75km/h?
    9·1 answer
  • Solve the equation or formula for the variable specified 8qr+4t=7u for q ?
    11·1 answer
  • there are 20 golf balls in a bag, and 2 of the golf balls are white. the rest are yellow sherry randomly chooses golf balls, loo
    9·1 answer
  • CAN SOMEONE PLEASE HELP YOU WILL BE MARKED AS THE BRAINLIEST AND AWARDED LOTS OF POINTS AND 5 STARS WITH A THANKS
    14·1 answer
  • Devon and Kylie each makr a cheese sauce. Devon uses 8 oz of cheese for every 9 oz of cream. Kylie uses 11 oz of cheese for ever
    10·1 answer
  • Solve these and show your work pls!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!