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
masha68 [24]
3 years ago
11

There are two numbers whose sum is 64. The larger number subtracted from 4 times the smaller number gives 31. Find the numbers.

Mathematics
1 answer:
Pani-rosa [81]3 years ago
3 0

There are two numbers whose sum is 64. The larger number subtracted from 4 times the smaller number gives 31. Then the numbers are 45 and 19

<h3><u>Solution:</u></h3>

Given that, There are two numbers whose sum is 64.  

Let the number be a and b in which a is bigger.

Then, a + b = 64 ------ eqn (1)

The larger number subtracted from 4 times the smaller number gives 31.  

4 x b – a = 31  

4b – a = 31 ----- eqn (2)

We have to find the numbers.

So, from eqn (2)

a = 4b – 31

Subatitute a in (1)

4b – 31 + b = 64

On solving we get

5b  = 64 + 31  

5b = 95

b = 19

So, b = 19, then eqn 1

a + 19 = 64

On simplification,

a = 64 – 19

a = 45  

Hence, the two numbers are 45 and 19

You might be interested in
40% of a 12,000 acre forest is being logged how many acres will be logged
Korvikt [17]
12000 x 0.40 = 4800

12000 - 4800 = 7200

7200 acres are being logged

hope this helps
3 0
2 years ago
Read 2 more answers
Consider the system of linear equations and the matrix equations below.
gregori [183]

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

Using Cramer's rule, the value of x is ...

  x=\dfrac{\left|\begin{array}{cc}2&3\\22&-2\end{array}\right|}{\left|\begin{array}{cc}-1&3\\4&-2\end{array}\right|}

  x = ((2)(-2) -(22)(3))/((-1)(-2) -(4)(3)) = (-4-66)/(2-12) = -70/-10

  x = 7

4 0
2 years ago
What does -12(4+g)=?
dolphi86 [110]

Answer:

-48-12g

Step-by-step explanation:

Use the distributive property to get your answer

6 0
3 years ago
Read 2 more answers
3y-6 divided by 9 = 4-2 divided by -3
antoniya [11.8K]
I believe the answer is 16/9
4 0
2 years ago
Read 2 more answers
Please help with accounting. Use the following information to complete the partial worksheet for Bill’s Company. Record the appr
Ket [755]

If I am reading this right, it looks like the 10, 3, 2, 1 are Adjustments and the Adjusted TB should equal the difference. Make sure you know how to add and subtract the debit and credit adjustments correctly.

TB +/- Adj = ATB

6 0
3 years ago
Other questions:
  • Jesus can wash 6 cars in 40 minutes. At this rate, how many cars can Jesus<br> wash in 4 hours?
    8·1 answer
  • What is the domain, range, and if it's a function?
    13·1 answer
  • The sum of two consecutive even integers is -94
    12·1 answer
  • Rickey has been commissioned to paint a mural that is allowed to have an area of 50 square meters. To make the rectangle shape o
    8·1 answer
  • What sequence is modeled by the graph below? <br> Picture and answer choices below :)
    6·1 answer
  • 1.<br> Find m2ABC.<br> А<br> (6x - 7)º<br> B<br> (4x + 23)
    15·1 answer
  • Use the graph of the polynomial function to find the factored form of the related polynomial.
    9·1 answer
  • There are 6 bananas in a bunch and 4 monkeys want to share them
    11·1 answer
  • If someone drove 640 miles in 4 hours how would you determine they would travel in 12?
    15·1 answer
  • a family buys 6 airline tickets online. the family buys travel insurance that costs 18 per ticket. the total cost is 1,044
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!