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
jeyben [28]
3 years ago
11

The LCM of 2 numbers is 60 and 1 of the numbers is 7 less than the other number. What are the numbers?

Mathematics
1 answer:
Phoenix [80]3 years ago
5 0
Let's represent the two numbers by x and y.  Then xy=60.  The smaller number here is x=y-7.

Then (y-7)y=60, or y^2 - 7y - 60 = 0.  Use the quadratic formula to (1) determine whether y has real values and (2) to determine those values if they are real:

discriminant = b^2 - 4ac; here the discriminant is (-7)^2 - 4(1)(-60) = 191.  Because the discriminant is positive, this equation has two real, unequal roots, which are
        -(-7) + sqrt(191)
y = -------------------------
             -2(1)

and 

        -(-7) - sqrt(191)
y = ------------------------- = 3.41 (approximately)
             -2(1)

Unfortunately, this doesn't make sense, since the LCM of two numbers is generally an integer.


Try thinking this way:  If the LCM is 60, then xy = 60.  What would happen if x=5 and y=12?  Is xy = 60?  Yes.  Is 5 seven less than 12?  Yes.






You might be interested in
A square park is 75 m long. Find the area of the park.<br>​
Inga [223]
5625 m^2

If is is square, all sides must be congruent (all sides are 75m). To find area, you multiply width x length (how long). Therefore:

75m x 75m = 5626 m^2
3 0
3 years ago
The perimeter of a semicircle is 10.28 kilometers. what is the semicircle's area
alexgriva [62]
The answer is 6.27. Hope this helps.
8 0
3 years ago
Whats 10 divided by 489
Jobisdone [24]

Answer:

0.02044989775

Step-by-step explanation:

5 0
3 years ago
for a field trip 12 students rode in cars and the rest filled six buses how many students were in each bus if 342 students were
kolezko [41]

Answer:

55

Step-by-step explanation:

we have 342 students, subtract 12 because we need only kids riding the bus, now we have 330 kids, we divide the 330 kids between 6 buses 330/6, our answer is 55.

4 0
3 years ago
Wasilla, Alaska currently has a population of 10,000 people. It's population has been increasing by
Aleksandr-060686 [28]

Answer:

she’s running in uppercase

5 0
3 years ago
Other questions:
  • 0.425 as a fraction in simplest form
    10·1 answer
  • 6. Pamel bought an electric drill at 85% of the regular price. She paid $276,25 for
    13·1 answer
  • Who is good at the maths/ algebra??
    5·1 answer
  • Which measurement is most accurate to describe the width of a penny 19 mm 8 cm 1 m or 0.3 km
    9·2 answers
  • 0+x=x name the property of the equation
    11·1 answer
  • What is -7 repeating
    5·1 answer
  • What is the adjective in these sentence the elephant had a long twisty trunk.which of the word is adjective .
    11·1 answer
  • Jnsxdhcdhcfhbh demdencec ecerfgv yes
    6·2 answers
  • What is 3 1/2 divided by 4/5?
    7·2 answers
  • 8. Ashton deposited 1/3 of his paycheck into the bank. He deposited $125. Write and
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!