Question

6. Set up an equation in the following cases:
(1) 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.)
(in) Laxmi's father is 49 years old. He is 4 years older than three times Laxmi's
(m) 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 lowes
age
(Take Laxmi's age to be y years.)
score to be l.)
(iv) In an isosceles triangle, the vertex angle is twice either base angle. (Let the bas
angle be b in degrees. Remember
that the sum of angles of a triangle is 18
degrees).​

Answer 1

Answer:

6. Set up an equation in the following cases:

(1) 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.)

(in) Laxmi's father is 49 years old. He is 4 years older than three times Laxmi's

(m) 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 lowes

age

(Take Laxmi's age to be y years.)

score to be l.)

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

angle be b in degrees. Remember

that the sum of angles of a triangle is 18

degrees).

Answer 2

1) Let the number of Parmit's marble be m.

According to statement -

5m + 7 = 37

2) Let Laxmi's age be y.

According to statement -

3y+4=49

3) Let the lowest score be l .

According to the statement -

2l+7=87

4)The base angle be b° and vertex angle be v° .

According to the statement -

v° + b°+ b° = 180°

v° = 180° - 2b°