Home › ICSE Class 8 › mathematics › Linear Equations in One Variable › The denominator of a fraction is 4 more than the…
The denominator of a fraction is 4 more than the numerator. If 5 is added to both, the fraction becomes 2/3. The original fraction is
A5/9
B3/7
C1/5
D7/11
Answer & Solution
Correct answer: B. 3/7
1. Let numerator = x; denominator = x + 4.
2. (x + 5)/(x + 9) = 2/3.
3. Cross-multiply: 3(x + 5) = 2(x + 9), 3 x + 15 = 2 x + 18, x = 3.
4. Fraction = 3/(3 + 4) = 3/7.
_Source: Selina Concise Mathematics Class 8, Ch 18 Linear Equations in One Variable (Mistral OCR'd PDF), section on word problems_
Related questions
Solve: 4(x - 1) - 2(x + 3) = 6. The value of x isSolve: 2 x + 3(x - 1) = 17. The value of x isThe perimeter of a rectangle is 36 cm. Length is 4 cm more than breadth. The breadth isSolve: 0.4 x + 0.6 = 1.4. The value of x isTwo numbers are in the ratio 3:5. If 5 is added to each, the ratio becomes 2:3. The largerThe present age of father is three times the son's age. After 10 years the father will be The sum of two consecutive natural numbers is 25. The smaller number isThree times a number reduced by 5 equals 16. The number is