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 mark is $87$ . What is the lowest mark?

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Solution

Let's assume the lowest mark is $^{'} x^{'}$ .
twice the lowest mark will be $2 x$
given that twice the lowest marks plus seven is highest mark.
$=>$ $2 x + 7 = 87$
$=> 2 x = 80$
$=> x = 40$
Hence the $l o w e s t m a r k$ is $40$ .

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Q. Solve the following:
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

. What is the lowest score?

Q. Set up an equation in the following case:
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. )

Solve the following:

(a) 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 $87$ . What is the lowest score?

(b) In an isosceles triangle, the base angles are equal. The vertex angle is $40 °$ . What are the base angles of the triangle? (Remember, the sum of three angles of a triangle is $180 °$ ).

(c) Sachin scored twice as many runs as Rahul. Together, their runs fell two short of a double century. How many runs did each one score?

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.)

Q. What is the ratio of the highest marks to the lowest marks obtained by the student?

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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 mark is 87. What is the lowest mark?

Let's assume the lowest mark is ′x′.twice the lowest mark will be 2xgiven that twice the lowest marks plus seven is highest mark.=> 2x+7=87=>2x=80=>x=40Hence the lowestmark is 40.

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 mark is $87$ . What is the lowest mark?

Let's assume the lowest mark is $^{'} x^{'}$ .
twice the lowest mark will be $2 x$
given that twice the lowest marks plus seven is highest mark.
$=>$ $2 x + 7 = 87$
$=> 2 x = 80$
$=> x = 40$
Hence the $l o w e s t m a r k$ is $40$ .