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

Cost of a Pen and a Pencil Box Video Explanation Question The cost of 4 pens and 4 pencil boxes is ₹100. Three times the cost of a pen is ₹15 more than the cost of a pencil box. Form the pair of linear equations and find the cost of a pen and a pencil

Fixed Charge and Charge Per Extra Day Video Explanation Question A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs 27 for a book kept for seven days, while Susy paid Rs 21 for the book she kept for five days. Find

Cost of Each Bat and Each Ball Video Explanation Question The coach of a cricket team buys 7 bats and 6 balls for Rs. 3800. Later, he buys 3 bats and 5 balls for Rs. 1750. Find the cost of each bat and each ball. Solution Step 1: Let the Variables Let the cost of

Investment in Two Schemes Video Explanation Question Susan invested a certain amount of money in two schemes A and B, which offer interest at the rate of 8% per annum and 9% per annum respectively. She received Rs 1860 as annual interest. If she had interchanged the investments, she would have received Rs 20 more.