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 –

Finding the Required Two-Digit Number Video Explanation Question A two-digit number is such that the product of its digits is 20. If 9 is added to the number, the digits interchange their places. 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 A two-digit number is 4 times the sum of its digits and twice the product of its digits. Find the number. Solution Step 1: Let the Variables Let the tens digit = \(x\) Let the units digit = \(y\) Step 2: Form the Number Original number =

Finding the Required Two-Digit Number Video Explanation Question A two-digit number is 4 more than 6 times the sum of its digits. If 18 is subtracted from the number, the digits are reversed. Find the number. Solution Step 1: Let the Variables Let the tens digit = \(x\) Let the units digit = \(y\) Step