Question 6(iii)
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. )

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Solution

Let the lowest score be l.
According to given statement highest score is 7 more than 2 times of lowest marks.
Hence, the highest score = 2l+7
Also, the highest score = 87
So, the equation will be 2l+7 = 87

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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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Forming Equation from Solution

Standard VII Mathematics

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Question 6(iii) 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. )

Let the lowest score be l. According to given statement highest score is 7 more than 2 times of lowest marks. Hence, the highest score = 2l+7 Also, the highest score = 87 So, the equation will be 2l+7 = 87

Question 6(iii)
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. )

Let the lowest score be l.
According to given statement highest score is 7 more than 2 times of lowest marks.
Hence, the highest score = 2l+7
Also, the highest score = 87
So, the equation will be 2l+7 = 87