Question

2. 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 1809).
(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 1

Answer:

1.87- 7 = 80/2 = 40 was the lowest marks

2.180- 40 = 160 both base angles

3.200-2 = 198

Sachin = 2x

Rahul = x

2x +x = 198

3x = 198

x = 198/3

x =66

therefore rahul scored 66

and Sachin scored 2x= 66 x 2 = 132

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