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
VashaNatasha [74]
3 years ago
13

The product of two whole numbers is 416 and their sum is 42. What are the two numbers?

Mathematics
1 answer:
olga55 [171]3 years ago
7 0

Answer:

The two numbers are <em>16</em> and <em>26</em>.

Step-by-step explanation:

We can solve this question using 2 simultaneous equations based on the given information from the question.

Let number 1 = x

Let number 2 = y

xy = 416 -> ( 1 )

x + y = 42 -> ( 2 )

We can use either substitution or elimination to solve simultaneous equations. For this question, we will use substitution as it is the easier and shorter option.

Make y the subject in ( 2 ):

x + y = 42 -> ( 2 )

y = 42 - x -> ( 3 )

Substitute ( 3 ) into ( 1 ):

xy = 416 -> ( 1 )

x ( 42 - x ) = 416

42x - x^2 = 416

-x^2 + 42x - 416 = 0

- [ x^2 - 42x + 416 ] = 0

- [ x^2 - 16x - 26x + 416 ] = 0

- [ x ( x - 16 ) - 26 ( x - 16 ) ] = 0

- ( x - 16 ) ( x - 26 ) = 0

x = 16 -> ( 4 ) , x = 26 -> ( 5 )

Substitute ( 4 ) into ( 3 ):

y = 42 - x -> ( 3 )

y = 42 - ( 16 )

y = 26

Substitute ( 5 ) into ( 3 ):

y = 42 - x -> ( 3 )

y = 42 - ( 26 )

y = 16

Therefore:

x = 16 , y = 26

x = 26 , y = 16

The two numbers are 16 and 26.

You might be interested in
Could any of y'all help me?
Scorpion4ik [409]
Start using calculator
5 0
3 years ago
18 lollipop at the same number of lollipops on the nine tables how many levels did she pop on each table​
vivado [14]

Answer:

2

Step-by-step explanation:

.....................

7 0
2 years ago
How many significant figures are in the number 12.001?
kramer
There are five significant figures in 12.001
3 0
3 years ago
a specific shade of green glaze requires 5 parts blue to 3 parts yellow. a glaze mixture contains 25 quarts of blue and 9 quarts
-BARSIC- [3]

if you are multiplying by 5, then the blue needs to be 25 quarts and the yellow needs to be 15 quarts not 9. If you are multiplying by 3 then it would be 9 quarts yellow and 15 quarts blue. hope this helps :)

4 0
3 years ago
A solid figure with one circular base and one curved surface
gulaghasi [49]
What is the net of the shape? I would say a ball, or a cylinder.
8 0
3 years ago
Read 2 more answers
Other questions:
  • WHAT IS THE PERCENTS OF 13/50 , 3/5 3/20 5/8 45/90 7/5 19/25
    8·1 answer
  • Triunghiul si elementele lui<br> Geometrie Clasa a -7 ex.11 p.154
    11·1 answer
  • Which rational number equals 0 point 5 with bar over 5? (1 point)
    8·2 answers
  • Write a story problem for a number between 11 and 19. Then solve by using words from the Word List.Show your work ( word list---
    15·1 answer
  • Solve using elimination. 4. 2x + 3y = 12 2x – y = 4 5. 5x – 2y = - 19 2x + 3y = 0
    5·1 answer
  • Rearrange the formula I = √P/R for R.
    11·1 answer
  • Un numero aumentado en 5<br>​
    8·1 answer
  • I open a savings account with 25$. I deposit the same amount from my check each month. After 6 months, I have 235$ in my savings
    12·1 answer
  • Find the value of x.<br> NEED ANSWER ASAP WILL MARK BRAINLIEST!<br><br> L, M ∈ KN
    15·2 answers
  • Also need help with this question
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!