(a) Given Munnu’s age to be x years, can you guess what (x – 2) may show? (Hint: Think of Munnu’s younger brother.) Can you guess what (x + 4) may show? What (3 x + 7) may show?
(b) Given Sara’s age today to be y years. Think of her age in the future or in the past. What will the following expression indicate? y + 7, y – 3, y +4 1/2, y – 2 1/2.
(c) Given n students in the class like football, what may 2n show? What may 2 n show? (Hint: Think of games other than football).

Solution:

We use the concept of algebra to answer the given question.

(a) We know that Munnu’s current age is x years.

Therefore, (x - 2) represents the person whose age is (x - 2) years. The person is, therefore, 2 years younger than Munnu and can possibly be Munnu’s younger brother.

(x + 4) represents the person whose age is (x + 4) years. The person is, therefore, 4 years older than Munnu and can possibly be Munnu’s elder brother.

(3 x + 7) represents the person whose age is (3 x + 7) years. The person is, therefore, 7 years older than three times the age of Munnu and can possibly be Munnu’s father.

(b) We know that Sara’s age today is y years.

(y + 7) represents Sara’s age 7 years in the future.

(y – 3) represents Sara’s age 3 years in the past.

(y + 4 ½) represents Sara’s age 4 ½ in the future.

(y – 2 ½) represents Sara’s age 2 ½ in the past.

(c) We know that the number of students in the class who like football = n

2n may show the number of students in the class who like some game other than football, say, cricket.

n/2 may show the number of students in the class who like some game other than football, say, tennis.

NCERT Solutions Class 6 Maths Chapter 11 Exercise 11.4 Question 3

Given Munnu’s age to be x years, can you guess what (x – 2) may show? (Hint: Think of Munnu’s younger brother.) Can you guess what (x + 4) may show? What (3 x + 7) may show? (b) Given Sara’s age today to be y years. Think of her age in the future or in the past. What will the following expression indicate? y + 7, y – 3, y +4 1/2, y – 2 1/2. (c) Given n students in the class like football, what may 2n show? What may 2 n show? (Hint: Think of games other than football). 

Summary: 

Using the concept of algebra, it can be concluded that Munnu’s siblings’ age as well as her father’s age can be represented with respect to Munnu’s current age of x years. Sarah’s current, past and future ages can also be represented with respect to Sarah’s current age of y years. The number of students who like other games can be represented with respect to those who like football.

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