# NCERT Class 7 Mathematics Solutions: Chapter 4 – Simple Equations Exercise 4.4 Part 2 (For CBSE, ICSE, IAS, NET, NRA 2023)

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1. Solve the following:

(a) The teacher tells the class that the highest marks obtained by a student in her class are twice the lowest marks plus . The highest score is . What is the lowest score?

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

(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?

Answer:

(a) Consider the lowest score be

Lowest marks Highest marks

Dividing both sides by

So, the lowest score is .

(b) Consider the base angle of a triangle is .

Dividing both sides by

So, the base angles of the triangle are of measure.

(c) Consider Rahul՚s score be

So, Sachin՚s score

Rahul՚s score Sachin՚s score

Dividing both sides by

Rahul՚s score

Sachin՚s score