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Set up an equation in the following cases: (i) Irfan says that he has 7 marbles more than five times the marbles Parmit has.

Set up an equation in the following cases:

(i) Irfan says that he has 7 marbles more than five times the marbles Parmit has.

Irfan has 37 marbles. (Take m to be the number of Parmit’s marbles.)

(ii) Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age.

(Take Laxmi’s age to be y years.)

(iii) The teacher tells the class that the highest marks obtained by a student in her

class is twice the lowest marks plus 7. The highest score is 87. (Take the lowest

score to be l.)

(iv) In an isosceles triangle, the vertex angle is twice either base angle. (Let the base

angle be b in degrees. Remember that the sum of angles of a triangle is 180

degrees).

## Answers ( )

Step-by-step explanation:Let Parmit’s marbles=m

(i) Irfan’s marbles=7+5m

Irfan has 37 marbles.

i.e. 37=7+5m

Solve

37-7=5m

5m=30

m=30/5

m=6

Parmit’s marble=5*6=30

(ii) Laxmi’s father age=49

Let Laxmi’s age=y

3y+4=49

3y=49-4

3y=45

y=45/3

y=15

Laxmi’s age=15

(iii) Highest marks=2(lowest marks) +7

87=2(I)+7

87-7=2(I)

80=2(I)

I=80/2

I=40

Lowest marks=40

(iv) Let the base=b

vertex angle=2b

sum of angles of triangle=180degree

b+b+2b=180

4b=180

b=180/4

b=45

Angles=45,45,90

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