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The fourth part of a number exceeds the sixth part by 4. The number is
  • a)
    84
  • b)
    44
  • c)
    48
  • d)
    none of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The fourth part of a number exceeds the sixth part by 4. The number is...
Let the number be 'x'.
By the problem,
(x/4)=(x/6)+4
⇒(x/4)-(x/6)=4
⇒(3x-2x)/12=4
⇒x/12=4
⇒x=4x12
⇒x=48.
Therefore, the number is 48.

Verification:
48/4=48/6+4
12=8+4
12=12
∴LHS=RHS.
So,the number is 48.

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Most Upvoted Answer
The fourth part of a number exceeds the sixth part by 4. The number is...
Given: The fourth part of a number exceeds the sixth part by 4.

To find: The number

Let's assume the number to be x.

According to the given condition,

4x/4 - 6x/6 = 4

Simplifying the above equation,

x/3 - x/2 = 4

(2x - 3x)/6 = 4

-x/6 = 4

x = -24*6/(-1)

x = 144

Therefore, the number is 144, which is option C.
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Community Answer
The fourth part of a number exceeds the sixth part by 4. The number is...
X/4 - x/6 =4
3*x/4*3 - 2*x/6*2=4
3x/12 - 2x/12 =4
x/12 =4
x = 4*12
x=48
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The fourth part of a number exceeds the sixth part by 4. The number isa)84b)44c)48d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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