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
denis-greek [22]
2 years ago
6

LCM of two numbers is 1134 and HCF is 18. if one of the numbers is 162, find the other. number.​

Mathematics
1 answer:
Brilliant_brown [7]2 years ago
7 0
<h3>Answer:  126</h3>

=====================================================

Work Shown:

Let x and y be the two numbers.

We're given x = 162 and the variable y is unknown.

We're also given LCM = 1134 and HCF = 18

So,

LCM = (x*y)/HCF

1134 = 162*y/18

1134 = (162/18)y

1134 = 9y

9y = 1134

y = 1134/9

y = 126

The other number is 126

---------------------

Notice that

  • 162 = 18*9
  • 126 = 18*7

showing that 18 is the highest common factor (HCF) of the numbers 162 and 126. This partially confirms the answer.

Now let,

  • A = multiples of 162
  • B = multiples of 126

So,

  • A = 162, 324, 486, 648, 810, 972, 1134, 1296, ...
  • B = 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260, ...

We see that 1134 is in each list of multiples and the smallest such common item. So the lowest common multiple (LCM) of 162 and 126 is 1134. This helps fully confirm the answer.

You might be interested in
Nathan's lawn mower uses 23 of a tank of gas to cut three one-acre lawns. How many one-acre lawns can he cut with a full tank of
Angelina_Jolie [31]
60 Gallons To FInish The Whole Entire Yard I think double check to make sure
6 0
2 years ago
Q8 Q18.) How many adults and students should attend to raise the maximum amount of​ money?
Kruka [31]
160 adults and 80 students seems to be correct
5 0
3 years ago
Read 2 more answers
(x-2)(-5x^2+x)=(x)(-5x^2)+(x)(x)+(-2)(-5x^2)+(-2)(x) is an exsample of
e-lub [12.9K]

this is an example of linear equations is one variable

6 0
3 years ago
What happens to the value of the expression 5/x+5 as x decreases from a large positive number to a small positive number?
Tresset [83]

option 2. it increases

because as x decrease 5/x will increase which will overall increase the expression value

6 0
2 years ago
Kim purchased white vases, red vases, and flowers to create centerpieces for an event. The flowers cost a total of $336 and each
laiz [17]

Option A:

I and III only the answers.

Solution:

Let white vases be "w" and red vases be "r".

Cost of total flower = $336

Cost of each vase = $11

Total cost of the centerpieces

                = Cost of (white vases + red vases)  + Cost of flowers

                = 11(w + r) + 336

                = 11w + 11r + 336

Total cost of the centerpieces = 11w + 11r + 336 = 11(w + r) + 336

Therefore I and III only the answers.

Option A is the correct answer.

4 0
2 years ago
Other questions:
  • Alex has 21 marbles zach has 19 times as many marbles as alex how many marbles does zach have
    14·1 answer
  • © Performance Task 2
    13·1 answer
  • Convert ln(3x) = 5 into exponential form.
    7·1 answer
  • Answer it pls and explain too​
    15·1 answer
  • Who knows what the emory college costs
    9·1 answer
  • Which composition of transformations will create a pair of similar
    9·1 answer
  • If 3 is added to twice a number the result is 17
    15·1 answer
  • Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
    9·1 answer
  • A hand-held digital music player was marked down by 1/4 of the original price. If the sales price is $200. What is the original
    15·1 answer
  • What is the domain and limit(s) of f(x)=1/x+3?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!