Word Problems Involving Linear Equations

The video tutorial covers solving linear equations derived from word problems. It includes examples such as calculating ages, counting coins, finding integer differences, identifying consecutive multiples, calculating profits, and solving two-digit number problems. Each example demonstrates setting up equations and solving them step-by-step.

What is the first step in solving a word problem involving linear equations?

• Guess the answer

• Identify known values and variables

• Check the solution

• Write the final answer

If Jacob's father's age is three times Jacob's age, and their combined age in five years is 70, what is Jacob's current age?

• 25 years

• 20 years

• 15 years

• 10 years

How many five rupee coins does Ram have if the number of two rupee coins is four times the number of five rupee coins and the total value is 117 rupees?

• 11 coins

• 5 coins

• 7 coins

• 9 coins

What is the larger integer if the difference between two integers is 50 and their ratio is 1:3?

• 100

• 75

• 50

• 25

What is the smallest multiple of 7 if the sum of three consecutive multiples of 7 is 777?

• 266

• 245

• 252

• 259

How many oranges did the fruit vendor purchase if he made a total profit of 390 rupees with a 20% profit on oranges and a 15% profit on bananas?

• 400

• 300

• 200

• 100

What is the original two-digit number if the sum of its digits is 7 and interchanging the digits increases the number by 27?

• 25

• 34

• 52

• 43

What is Ruby's current age if the ratio of her age to Reshma's is 5:7 and in four years the ratio will be 3:4?

• 28 years

• 16 years

• 24 years

• 20 years