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?

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 40
Let us assume the lowest score be x.
Given,
Highest score = 87
Highest marks obtained by a student in her class is twice the lowest marks plus 7
The given above statement can be written in the equation form as,
2x + 7 = Highest score
2x + 7 = 87
By transposing 7 from LHS to RHS, it becomes -7
2x = 87 – 7
2x = 80
Now,
Divide both the side by 2
$\frac{2 x}{2} = \frac{80}{2}$
x = 40
Hence, the lowest score is 40.

Suggest Corrections

111

Similar questions

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.)

Join BYJU'S Learning Program