Students can download Chapter 11 Algebra Ex 11.4 KSEEB Solutions for Class 6 Maths helps you to revise the complete syllabus.

## Karnataka State Syllabus Class 6 Maths Chapter 11 Algebra Ex 11.4

Question 1.

Answer the following:

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

Solution:

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

Saritha’s present age + 5

= y + 5

ii) What was her age 3 years back

3 years ago, Saritha’s age = Saritha’s present age – 3

y – 3

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

Grand father’s age = 6 × Sarita’s present age = 6y

iv) Grandmother is 2 years younger than grandfather. What is grandfather’s age?

Solution:

Grand father’s age = Grand father’s present age – 2 = 6y – 2

v) Saritha’s father’s age is 5 years more than 3 times Saritha’s age. What is her

father’s age?

Father ’s age = 5 + 3 x saritha’s persent age = 5 + 3y

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?

Solution:

Length = 3 × Breadth – 4

l = (3b – 4) metres

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 he length and the breadth of the box in terms of the height.

Solution:

Length = 5 × Height

l = 5h cm

Breadth = 5 × Height – 10

b = (5h – 10)

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

Solution:

She at which Beena is = (step at which Meen is) + 8

= S + 8

Step at which Leena is = (steps at which Meena is ) – 7

= S = 7

Total steps = 4 × (step at which meena is) – 7

= S – 7

Total steps = 4 × (steps at which Meena is ) – 10

= 4s – 10

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

Solution:

Speed = vkm/hr

Distance travelled in 5hrs = 5 × v = 5v km

Total distance between Daspur and Beespur = (5v + 20) km

Question 2.

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

(For example, Give 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 note book costs Rs P.A book costs Rs 3 p.

Solution:

A book costs three times the cost of a note book

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

Solution:

Tony’s box contains 8 times the numbers of marbles on the table

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

Solution:

Total number of students in the school is 20 times that of our class.

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

Solution:

Jaggu’s uncle is 4 times older than jaggu and jaggu’s aunt is 3 years younger than his uncle.

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

Solution:

The total number of close is 5 times the number of rows.

Question 3.

a) Given Munnurs age to be x years, can you guess what (9x – 2) may show?

(Hint: Think of Munnu’s younger brother.)

Can you guess what (x + 4) may shows? What (3x + 7) may show?

Solution:

(x – 2) represents that the person whose age is (x – 2) years, is 2 years younger to munnu

(X + 4) represents that the person, Whose age is (x + 4) Years, is 4 years elder to munnu

(3x+7) represents that the person whose age is (3x + 7) years, is elder to munnu and his age is 7 years more than three times of the age of munnu

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\(\frac{1}{2}\), y – 2\(\frac{1}{2}\)

Solution:

in future

After m years from now, sara’s age will be (y + h) years in past n years ago , sara’s age was (y – n) years

(y + 7) represents that the person, whose age is (y + 7) years, is 7 years elder to sara (y – 3) represents that the person, whose age is (y – 3) years, is 3 years younger to sara

(y + 41/2) represents that the person

Whose age is (y + 4\(\frac{1}{2}\) ) years, is 4 1/2 years elder to sara (y – 2 1/2) represents that the person

Whose age is (y – 2 1/2) years, is 2 1 /2 years younger to sara

c) Given n students in the class like football, What may 2n show? What may \(\frac{n}{2}\) show?

(Hint: .Think of games other than football)

Solution:

2n may represent the number of students who like either football or some other game such as cricket Where as 11/2 represents the number of students who like Cricket, out of the total number of students who like football.