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?

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Solution

$\begin{matrix} L e t l o w e s t m a r k s o b t a i n e d b y s t u d e n t s i s x \Rightarrow ∴ h e i g h e s t m a r k s = 2 x + 7 \to (i) \Rightarrow h i g h e s t s c o r e i s 87 \Rightarrow f r o m e q u a t i o n (i), 87 = 2 x + 7, \frac{80}{2} = x = 40 T h e n l o w e r s c o r e i s (40) A n s . \end{matrix}$

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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. )

Q. Teacher tells the class that the highest score obtained by a student are 9 more than thrice the lowest score. If the highest score is 90. What is the lowest score?

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.)

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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 score is 87. What is the lowest score?

Letlowestmarksobtainedbystudentsisx⇒∴heighestmarks=2x+7→(i)⇒highestscoreis87⇒fromequation(i),87=2x+7,802=x=40Thenlowerscoreis(40)Ans.

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?