NCERT Class 8 Mathematics Solutions: Chapter 2 – Linear Equations in One Variable Exercise 2.2 Part 4

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Given this figure Linear equaction method

Linear Equaction Method

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Question: 8 Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.

Answer:

Let the three number consecutive integers be and

According to the question

Hence, first integer

Second integer and third integer

Question: 9 The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?

Answer:

Let the present ages of Rahul and Haroon be 5x years and 7x years respectively.

According to condition

Hence, present age of Rahul year and Present age of Haroon =

Question: 10 The number of boys and girls in a class are in the ratio 7: 5. The number of boys is 8 more than the number of girls. What is the total class strength?

Answer:

Let the number of girls be.

Then, the number of boys = .

According to the question,

Hence the number of girls and number of boys