ncert solutions for class 6 maths chapter 11 algebra exercise 11.4 class 6 maths chapter 11 algebra exercise 11.4 class 6 chapter 11 algebra exercise 11.4 ncert solutions for class 6 maths chapter 11 algebra ex 11.4

## NCERT Solutions for Class 6 Maths Chapter 11 Algebra Ex 11.4

Question 1.

**Answer the following :
(a)** Take Sarita’s present age to he 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’sfather’s age is 5years 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 hilltop. Meena is at step s, Beena is 8 steps ahead and Leena7 steps behind. Where are Beena and Leena? The total number of steps to the hilltop is 10 less than 4 times what Meena has reached. Express the total number of steps using.

**(e)**A bus travels at v km per hour. It is going from Daspur to Beespur. After the bus has traveled 5 hours,

Beespur is still 20 km away. What is the distance from Daspur to Beespur? Express it using.

Solution.

**(a)**(y + 5) years

(ii) (y – 3) years

(iii) 6y years

(iv) (6y – 2) years

(v) (3y + 5) years

**(b)**Length (l) = (3b – 4) meters

**(c)**Length of the box = 5h cm

Breadth of the box = (5h – 10) cm

**(d)**Beena is at step (s + 8)

Leena is at step (s – 7)

Total number of steps = 4s – 10.

**(e)**Speed of the bus = v km/hr

Distance travelled in 5 hours = 5v km.

∴Total distance = (5v + 20) km

Question 2.

Change the following statements using expressions into statements in the 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 Rs p. A book costs Rs 3 p.

**(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 20n students.

**(d)** Jaggu is z years old. His uncle is 4z 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.

Solution.

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

**(b)** Tony’s box contains 8 times the marbles on the table.

**(c)** The total number of students in the school in 20 times that of our class.

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

**(e)** The total number of dots in an arrangement is 5 times the number of rows.

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 (3x + 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 + 412 ,y-212.

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

Solution.

**(a)** (x – 2) may show the age is Munnu’s younger brother. (a + 4) may show the age of Munnu’s elder brother. (3a+ 7) may show the age of Munnu’s grand mother.

**(b)** y + l indicates her age 7 years from now.

y – 3 indicates her age 3 years back.

y+ 412 indicates her age 412 years from now

y-212 indicates her age 212 years back.

**(c)** 2n may show the number of students who like cricket.

n2may show the number of students who like hockey.