Finding the Required Fraction Video Explanation Question The sum of the numerator and denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes \( \frac{1}{2} \). Find the fraction. Solution Step 1: Let the Variables Let the numerator = \(x\) Let the denominator = \(y\) Step 2: Form the […]

Finding the Required Fraction Video Explanation Question If 1 is added to the numerator and 1 is subtracted from the denominator, the fraction becomes 1. It becomes \( \frac{1}{2} \) if 1 is added only to the denominator. Find the fraction. Solution Step 1: Let the Variables Let the numerator = \(x\) Let the denominator

Finding the Required Fraction Video Explanation Question A fraction becomes \( \frac{1}{3} \) if 1 is subtracted from both its numerator and denominator. If 1 is added to both the numerator and denominator, it becomes \( \frac{1}{2} \). Find the fraction. Solution Step 1: Let the Variables Let the numerator = \(x\) Let the denominator

Finding the Required Fraction Video Explanation Question A fraction becomes \( \frac{9}{11} \) if 2 is added to both the numerator and denominator. It becomes \( \frac{5}{7} \) if 2 is subtracted from both the numerator and denominator. Find the fraction. Solution Step 1: Let the Variables Let the numerator = \(x\) Let the denominator

Finding the Required Fraction Video Explanation Question The numerator of a fraction is 4 less than the denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator. Find the fraction. Solution Step 1: Let the Variables Let the denominator = \(x\) Then

Finding the Required Two-Digit Number Video Explanation Question A two-digit number can be obtained either by: Multiplying the sum of its digits by 8 and subtracting 5 Multiplying the difference of its digits by 16 and adding 3 Find the number. Solution Step 1: Let the Variables Let the tens digit = \(x\) Let the

Finding the Two Numbers Video Explanation Question Two numbers are in the ratio 5 : 6. If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. Find the numbers. Solution Step 1: Let the Variables Let the numbers be \(5x\) and \(6x\) Step 2: Form the Equation After subtracting 8

Finding the Required Two-Digit Number Video Explanation Question Seven times a two-digit number is equal to four times the number obtained by reversing the digits. If the difference between the digits is 3, find the number. Solution Step 1: Let the Variables Let the tens digit = \(x\) Let the units digit = \(y\) Step

Finding the Required Two-Digit Number Video Explanation Question The sum of the digits of a two-digit number is 9. Nine times the number is twice the number obtained by reversing the digits. Find the number. Solution Step 1: Let the Variables Let the tens digit = \(x\) Let the units digit = \(y\) Step 2:

Finding the Two Numbers Video Explanation Question The difference between two numbers is 26 and one number is three times the other. Find the numbers. Solution Step 1: Let the Variables Let the smaller number = \(x\) Let the larger number = \(y\) Step 2: Form the Equations Difference between the numbers: \[ y –