Finding the Two-Digit Number Video Explanation Question The sum of digits of a two-digit number is 15. The number obtained by reversing the digits exceeds the given number by 9. Find the given number. Solution Step 1: Let the Variables Let the tens digit = \(x\) Let the units digit = \(y\) Step 2: Form […]
Two-Digit Number and Its Reverse Video Explanation Question The sum of a two-digit number and the number obtained by reversing its digits is 99. If the digits differ by 3, find the number. Solution Step 1: Let the Variables Let the tens digit = \(x\) Let the units digit = \(y\) Step 2: Form the
Finding Two Numbers Video Explanation Question The sum of two numbers is 1000 and the difference between their squares is 256000. Find the numbers. Solution Step 1: Let the Variables Let the first number = \(x\) Let the second number = \(y\) Step 2: Form the First Equation \[ x + y = 1000 \quad
Two-Digit Number and Its Reverse Video Explanation Question The sum of a two-digit number and the number formed by reversing its digits is 66. If the two digits differ by 2, find the number. How many such numbers are there? Solution Step 1: Let the Variables Let the tens digit = \(x\) Let the units
Finding the Two-Digit Number Video Explanation Question The sum of the digits of a two-digit number is 13. If the number is subtracted from the one obtained by interchanging the digits, the result is 45. Find the number. Solution Step 1: Let the Variables Let the tens digit = \(x\) Let the units digit =
Finding Two Numbers Video Explanation Question The sum of two numbers is 8. If their sum is four times their difference, find the numbers. Solution Step 1: Let the Variables Let first number = \(x\) Let second number = \(y\) Step 2: Form the Equations Sum of the numbers is 8: \[ x + y
Actual Prices of T.V. and Fridge Video Explanation Question On selling a T.V. at 5% gain and a fridge at 10% gain, the shopkeeper gains Rs 2000. But if he sells the T.V. at 10% gain and the fridge at 5% loss, he gains Rs 1500. Find the actual prices of the T.V. and fridge.
Total Number of Bananas Video Explanation Question Vijay divided his bananas into two lots A and B. Lot A was sold at the rate of Rs 2 for 3 bananas. Lot B was sold at the rate of Rs 1 per banana. Total collection = Rs 400. If Lot A had been sold at Rs
Number of Mangoes with A and B Video Explanation Question A and B each have a certain number of mangoes. A says to B, “If you give me 30 mangoes, I will have twice as many as left with you.” B replies, “If you give me 10 mangoes, I will have thrice as many as
Capital of Two Friends Video Explanation Question One says, “Give me a hundred, friend! I shall then become twice as rich as you.” The other replies, “If you give me ten, I shall be six times as rich as you.” Find their respective capitals. Solution Step 1: Let the Variables Let the first person’s capital