Find here step by step NCERT Solutions Exercise 11.4 Class 6 Maths Chapter 11 Algebra. NCERT Solutions Exercise 11.4 Class 6 Maths deals with Applications of Algebraic Expressions.

**Prerequisite / Revise this:**

## Exercise 11.4

Algebraic Expressions Applications

**QUESTION 1**

Answer the following:

(a) Take Sarita’s present age to be y years

(i) What will be her age 5 years from now?

(ii) What was her age 3 years back?

(iii) Sarita’s grandfather is 6 times her age. What is the age of her grandfather?

(iv) Grandmother is 2 years younger than grandfather. What is grandmother’s

age?

(v) Sarita’s father’s age is 5 years more than 3 times Sarita’s age. What is

her father’s age?

(b) The length of a rectangular hall is 4 meters less than 3 times the breadth of the hall. What is the length, if the breadth is b meters?

(c) A rectangular box has height h cm. Its length is 5 times the height and breadth is 10 cm less than the length. Express the length and the breadth of the box in terms of the height.

(d) Meena, Beena and Leena are climbing the steps to the hill top. Meena is at step s, Beena is 8 steps ahead and Leena 7 steps behind.

Where are Beena and Meena? The total number of steps to the hill top is 10 less than 4 times what Meena has reached. Express the total number of steps using s.

(e) A bus travels at v km per hour. It is going from Daspur to Beespur. After the bus has travelled 5 hours, Beespur is still 20 km away. What is the distance from Daspur to Beespur? Express it using v.

**ANSWER**

Let, Sarita present age be *y* years,

(i) Her age 5 years from now = *y* + 5

(ii) Her age 3 years back = *y* – 3

(iii) Sarita’s grandfather is 6 times her age,

So, the age of her grandfather = 6*y*

(iv) Grandmother is 2 years younger than grandfather,

Grandmother’s age = 6*y* – 2

(v) Sarita’s father’s age is 5 years more than 3 times Sarita’s age,

So, her father’s age = 3*y* + 5

(b) The breadth of the hall is b meters,

3 times the breadth of the hall = 3b meters,

The length of a rectangular hall is 4 meters less than 3 times the breadth of the hall,

the length of the hall = (3b – 4) meters

(c) Height of a rectangular box = h cm,

Its length is 5 times the height,

So, the length of the box = 5h cm,

Breadth is 10 cm less than the length,

So, breadth of the box = (5h – 10) cm.

(d) Meena, Beena and Leena are climbing the steps to the hill top,

Meena is at step s,

Beena is 8 steps ahead of Meena,

So, Beena is at step = s + 8,

Leena is 7 steps behind of Meena,

So, Leena is at step = s – 7

The total number of steps to the hill top is 10 less than 4 times what Meena has reached,

So, total number of steps = 4s – 10.

(e) Speed of a bus = v km per hour,

Distance = speed × time

So, distance travelled in 5 hours = v × 5 km

= 5v km,

After travelling 5v km,

Beespur is still 20 km away,

the distance from Daspur to Beespur = (5v + 20) km.

**QUESTION 2**

Change the following statements using expressions into statements in ordinary language.

(For example, Given Salim scores r runs in a cricket match, Nalin scores (r + 15) runs. In ordinary language – Nalin scores 15 runs more than Salim.)

(a) A notebook costs ₹ p. A book costs ₹ 3p.

(b) Tony puts q marbles on the table. He has 8 q marbles in his box.

(c) Our class has n students. The school has 20 n students.

(d) Jaggu is z years old. His uncle is 4 z years old and his aunt is (4z – 3) years old.

(e) In an arrangement of dots there are r rows. Each row contains 5 dots.

** ANSWER **

(a) A book costs three times more than the cost of a notebook.

(b) Number of marbles Tony has in his box is 8 times the marbles he put on the table.

(c) The school has 20 times more students than the students in our class.

(d) Jaggu’s uncle is 4 times older than him and his aunt is 3 years younger than his uncle.

(e) r rows in an arrangement contains 5 dots each.

**QUESTION 3**

(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 + , y – .

(c) Given n students in the class like football, what may 2n show? What may show? (Hint : Think of games other than football).

**ANSWER**

(a) If Munnu’s age be x years,

(x – 2) may show the age of a person younger than Munnu by 2 years,

(x + 4) may show the age of a person older than Munnu by 4 years,

And (3x + 7) may show the age of a person older than Munnu by 7 more years than three times of his age.

(b) If Sara’s age today to be y years,

Her age in the past = y – number of years back,

Her age in the future = y + number of years ahead,

y + 7 represent the age of Sara 7 years ahead,

y – 3 represent the age of Sara 3 years back,

y + represent the age of Sara 4 and half years ahead,

y – represent the age of Sara 2 and half years back.

(c) n students in the class like football,

2n may show number of students who like some other game and which is twice the number of students liking football,

may show number of students liking some other game which is half of the number of students liking football.

## NCERT SOLUTIONS FOR CLASS 8 MATHS – CHAPTER 11 ALGEBRA

Check NCERT Solutions of other exercises from Class 6 Maths Chapter 11 Algebraic Expressions by clicking the links given below.

• Exercise 11.1

• Exercise 11.2

• Exercise 11.3

• Exercise 11.4

• Exercise 11.5

We hope Ncert Solutions Exercise 11.4 Class 6 Maths has helped you understand how to apply Algebraic Expressions in real life situations.

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