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
Alinara [238K]
3 years ago
9

Two numbers differ by 5. Seven times the smaller plus four times the larger is 108. Find the number

Mathematics
1 answer:
ladessa [460]3 years ago
6 0

Answer:

<h3>8 and 13</h3>

Step-by-step explanation:

Let the two numbers be x and y

If the two numbers differs by 5, then;

y-x = 5 ...1

x is the smaller

y is the larger

If seven times the smaller plus four times the larger is 108, this is expressed as;

7x + 4y = 108 ... 2

From 1;

y = 5 + x .... 3

Substitute 3 into 2;

From 2;

7x + 4y = 108

7x + 4(5+x) = 108

7x + 20 + 4x = 108

11x + 20 = 108

11x = 108-20

11x = 88

x = 88/11

x = 8

Since y = 5+x

y = 5 + 8

y = 13

hence the numbers are 8 and 13

You might be interested in
A total of 200 people attended a carnival. Children tickets to the carnival cost $2.00. Adult tickets to the carnival cost $4.00
Orlov [11]

Answer:

$15.02

Step-by-step explanation:

add the money then add the 200. to what u get when u add the money

5 0
3 years ago
Find the lateral area for the prism. L.A. =<br> Find the total area for the prism. T.A. =
Ksivusya [100]
The lateral area of the prism is given by:
LA=[area of the two triangles]+[area of the lateral rectangles]
hypotenuse of the triangle will be given by Pythagorean:
c^2=a^2+b^2
c^2=6^2+4^2
c^2=52
c=sqrt52
c=7.211'
thus the lateral area will be:
L.A=2[1/2*4*6]+[6*8]+[8*7.211]
L.A=24+48+57.69
L.A=129.69 in^2

The total are will be given by:
T.A=L.A+base area
base area=length*width
=4*8
=32 in^2
thus;
T.A=32+129.69
T.A=161.69 in^2

6 0
4 years ago
Read 2 more answers
What is 14/18 as decimal
a_sh-v [17]

Answer:

14/18 = 0.778

Step-by-step explanation:

14 divided by 2 = 7

18 divided by 2 = 9

7/9 is the same as 7 divided by 9

= 0.778

3 0
3 years ago
Read 2 more answers
How to write 55% of n as an expression
miss Akunina [59]
0.55n would be the answer youre looking for. Hope this helped
3 0
4 years ago
Read 2 more answers
What is the answer of (-4uv²)​
IgorC [24]

Answer: -4uv^2

Multiply 4 by -1

6 0
2 years ago
Other questions:
  • Subtract (3u-3)(u+3)
    8·1 answer
  • What is the value of x?<br><br> Enter your answer in the box.
    5·1 answer
  • Alex restaurant bill is $58 and he wants to leave a 20% tip which expression of the total armor that Alex needs to
    14·1 answer
  • If X=6 and B=9<br> What is 5B-9X?
    9·2 answers
  • What Is the solve for n of 2 (8 + 3n) &lt; 34
    7·1 answer
  • Factorize 5n - mp - 5n + pn in a an algebra expression
    13·1 answer
  • Is the correctx 25&lt;28
    6·2 answers
  • Question 4(Multiple Choice Worth 4 points)
    9·1 answer
  • A bag of skittles that you bought contains 20 candies: 7 green,5 orange, 4 red and 3 yellow and only 1 brown.You open the the co
    14·1 answer
  • Find the median for 5, 3, 6, 5, 2, 9
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!