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Question -

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).



Answer -

(i)

From the question it isgiven that,

Number of Parmit’smarbles = m

Then,

Irfan has 7 marblesmore than five times the marbles Parmit has

= 5 × Number ofParmit’s marbles + 7 = Total number of marbles Irfan having

= (5 × m) + 7 = 37

= 5m + 7 = 37

(ii)

From the question itis given that,

Let Laxmi’s age to be= y years old

Then,

Lakshmi’s father is 4years older than three times of her age

= 3 × Laxmi’s age + 4= Age of Lakshmi’s father

= (3 × y) + 4 = 49

= 3y + 4 = 49

(iii)

From the question itis given that,

Highest score in theclass = 87

Let lowest score be l

= 2 × Lowest score + 7= Highest score in the class

= (2 × l) + 7 = 87

= 2l + 7 = 87

(iv)

From the question itis given that,

We know that, the sumof angles of a triangle is 180o

Let base angle be b

Then,

Vertex angle = 2 ×base angle = 2b

= b + b + 2b = 180o

= 4b = 180o

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