Question

Karan scored 10 marks more than
Bhawna in an examination. Eesha
scored 5 marks less than Bhawna. In
total, they scored 170 marks, what
was the score of Eesha?​

Answer 1

ANSWER:

Given:

• Marks scored by Karan are 10 more than that of Bhawna
• Marks scored by Eesha are 5 less than that of Bhawna
• Total marks of them is 170

To Find:

• Marks of Eesha

Soution:

$\text{Let the marks scored by Bhawna be x.}\\\\\text{So,}\\\\:\longrightarrow\text{Marks scored by Karan} =x + 10\\\\:\longrightarrow\text{Marks scored by Eesha} =x - 5\\\\\text{We are given that,}\\\\:\longrightarrow\text{Total Marks by the 3 students} =170\\\\:\implies (x)+(x+10)+(x-5)=170$

$:\implies x+x+10+x-5=170\\\\:\implies3x+5=170\\\\:\implies3x=170-5\\\\:\implies3x=165\\\\:\implies x=\dfrac{165\!\!\!\!\!\!\!\:/^{\:\:\:\:55}}{3\!\!\!/}\\\\:\implies x=55\\\\\text{So,}\\\\:\implies\text{Eesha's marks} =x-5=55-5=50\\\\\text{\bf{Hence, the marks scored by Eesha are 50.}}$