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
WARRIOR [948]
2 years ago
12

Three numbers are in the ratio 2 : 3 : 4 and their sum is 54. If 'x' is the common factor, then the value of 'x' is ________.

Mathematics
2 answers:
Sloan [31]2 years ago
8 0
<h3>Answer:   x = 6</h3>

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

Explanation:

The ratio 2:3:4 scales up to 2x:3x:4x after multiplying all three parts by x.

Their sum is 54, so we can say 2x+3x+4x = 54

Solve for x

2x+3x+4x = 54

9x = 54

x = 54/9

x = 6

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

Extra info:

if x = 6, then,

  • 2x = 2*6 = 12
  • 3x = 3*6 = 18
  • 4x = 4*6 = 24

Then notice how 2x+3x+4x = 12+18+24 = 54 to help confirm the answer

Also note how 12:18:24 reduces to 2:3:4 after dividing all three parts by the GCF 6.

Neporo4naja [7]2 years ago
3 0

Answer:

<h3><u>Given</u> </h3>
  • ↦ Three numbers are in the ratio 2 : 3 : 4
  • ↦ The sum of number is 54.
  • ↦ 'x' is the common factor

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3><u>To</u><u> Find</u> </h3>
  • ↦ Value of 'x'

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

Let the numbers,

  • ↦ 2x
  • ↦ 3x
  • ↦ 4x

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

According to the question,

: \implies\sf{2x + 3x + 4x = 54}

: \implies\sf{9x = 54}

: \implies\sf{x =  \dfrac{54}{9} }

: \implies\sf {x =  \cancel\dfrac{54}{9}}

: \implies\sf{x = 6}

{\dag{\underline{\boxed{\sf{\purple{x = 6}}}}}}

<u>Hence, The value of x is 6.</u>

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Thus numbers are,

  • ↦ 2 × 6 = 12
  • ↦ 3 × 6 = 18
  • ↦ 4 × 6 = 24

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3><u>Verification</u> </h3>

: \implies\sf{2x + 3x + 4x = 54}

  • Substituting the numbers

: \implies\sf{ 12+ 18 + 24 = 54}

: \implies\sf{54= 54}

{\dag{\underline{\boxed{\sf{\purple{LHS=RHS }}}}}}

Hence Proved!!

You might be interested in
Rasputen and his three buddies are splitting a giant 18 inch cookie. But notice 1/4 of it is missing. If each person gets the sa
frozen [14]

Answer:

Each of them will get 3.375 inches of cookie.

Step-by-step explanation:

Rasputen and his three buddies are splitting a giant 18 inches cookie.

But they notice that \frac{1}{4}th of it is missing.

So, the actual length of the cookie is 18[1-\frac{1}{4} ]=18 \times \frac{3}{4}=13.5 inches.

If all the four of them get the same amount of the giant cookie then each of them will get \frac{13.5}{4} = 3.375 inches of cookie. (Answer)

8 0
3 years ago
Can u please help thank you
torisob [31]
Answer : 6 is opposite of 1
8 0
3 years ago
( − 9 , 7 ),(−6,−3)
lina2011 [118]

Answer: If you wanting to find the slope, the answer would be m = -10/3

Step-by-step explanation: Use the slope formula to find the slope m.

Hope this helps you out! ☺

3 0
3 years ago
2 x 10 + 4 x 1 + (7 x 1/10) + (4 x 1/100) + (5 x 1/1000) in standard form
Verizon [17]

Answer:

4949/200=

Step-by-step explanation:

5 0
3 years ago
Need help ASAP pls. :)​
Troyanec [42]

Answer:

B

Step-by-step explanation:

because we just multiply the bottom equation by - and we eliminate 7y. now we have -2x=-10 to get x we divide -10 by -2 and get the answer

7 0
3 years ago
Other questions:
  • What is the slope and y-intercept of the equation 3(y − 2) 6(x 1) − 2 = 0?
    11·2 answers
  • I don’t understand how to do word problems they’re really hard HELP!!!
    11·1 answer
  • How do you solve for a missing component x ? 180:x::12:24
    15·1 answer
  • What is the answer for <br> r(x)=-x–7
    15·1 answer
  • A hat contains several slips of paper with names. Each name is written on one or more slips. Grace chooses a slip of paper from
    14·1 answer
  • I am sooooo dumb i swear,
    15·1 answer
  • Beth has $300 in her bank account. She buys x shirts for $20 each. what is an inequality. Beth can use to find how many shirts s
    6·1 answer
  • If he jogs at a constant speed of 9km/h, tell me how far kurt jogs each day. On which day did he jog the furthest?
    15·1 answer
  • PLEASE HELP! ILL GIVE BRAINLIEST!I! I uploaded a picture below.
    10·1 answer
  • 1. The ad on TV said: Buy a new turbocharged Vroom car now and save 16%, a total savings of $10,320. What was the original price
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!