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Both the numerator and the denominator of 3/4 are increased by a positive 15/17 integer, x, and those of — are decreased by the same integer. This operation results m the same value for both the fractions. What is the value of x?
  • a)
    3
  • b)
    4
  • c)
    1
  • d)
    2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Both the numerator and the denominator of 3/4are increased by a positi...
Let’s take the intger as x.
Now as per given statement,

By solving for x = 3
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Community Answer
Both the numerator and the denominator of 3/4are increased by a positi...
The resulting fraction are simplified. The resulting fraction is 5/6. Find the value of x.

Let's say the numerator and denominator of 3/4 are increased by x. The new fraction is (3+x)/(4+x).

According to the problem, if both the numerator and denominator are increased by x, the resulting fraction is 5/6. Therefore, we have the equation:

(3+x)/(4+x) = 5/6

To solve for x, we can cross-multiply:

6(3+x) = 5(4+x)

18+6x = 20+5x

Subtract 5x from both sides:

18+x = 20

Subtract 18 from both sides:

x = 2

Therefore, the value of x is 2.
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Both the numerator and the denominator of 3/4are increased by a positive 15/17integer, x, and those of — are decreased by the same integer. This operation results m the same value for both the fractions. What is the value of x?a)3b)4c)1d)2Correct answer is option 'A'. Can you explain this answer?
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