Question : The denominator of a fraction is 4 more than twice the numerator. When the numerator is increased by 3 and the denominator is decreased by 3, the fraction becomes $\frac{2}{3}$. What is the difference between the denominator and numerator of the original fraction?
Option 1: 13
Option 2: 10
Option 3: 12
Option 4: 11
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 11
Solution : Let the original fraction be $\frac{x}{y}$ According to the question, $y = 2x + 4$ .............(1) When 3 is added to the numerator and 3 is subtracted from the denominator the fraction becomes $\frac{2}{3}$ ⇒ new fraction = $\frac{x + 3}{y – 3} = \frac{2}{3}$ Put the value of y from eq. (1) ⇒ $\frac{x + 3}{2x + 4 – 3} = \frac23$ ⇒ $\frac{x + 3}{2x + 1}= \frac{2}{3}$ ⇒ $3x + 9 = 4x + 2$ ⇒ $x = 7$ Put the value of x in eq. (1) ⇒ $y = 2x + 4$ = 2 × 7 + 4 = 18 The original fraction = $\frac{7}{18}$ ⇒ Required difference = 18 – 7 = 11 Hence, the correct answer is 11.
Candidates can download this ebook to know all about SSC CGL.
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
Question : The numerator of a fraction is 6 less than its denominator. If the numerator is decreased by 1 and the denominator is increased by 5, then the denominator becomes 4 times the numerator. Find the fraction.
Question : The numerator of a fraction is a multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 4. If the denominator $7 + c (c > –7)$ is a constant, then the minimum value of the fraction is:
Question : A fraction is greater than twice its reciprocal by $\frac{7}{15}$. What is the fraction?
Question : The sum of three fractions is $2\frac{11}{24}$. On dividing the largest faction by the smallest fraction, $\frac{7}{6}$ is obtained which is $\frac{1}{3}$ greater than the middle fraction. The smallest fraction is:
Question : The sum of a fraction and 4 times its reciprocal is $\frac{13}{3}$. What is the fraction?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile