Mindtree question from quant section. Plz answer?

Qus. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them? A. 42, 33 B. 42, 36 C. 44, 33 D. 44, 36

Vishal
09 दिसम्बर
1415 दृश्य
3 उत्तर

Your Answer

Shivangee
16 जून

Answer: Option A
Explanation:
Let the marks secured by them be xx and (x+9)(x+9)

sum of their marks =x + (x+9)
= 2x+9
=x+(x+9)
=2x+9

Given that (x+9)(x+9) was 56% of the sum of their marks.
⇒(x+9)
=56100(2x+9)⇒(x+9)=1425(2x+9)⇒25x+225=28x+126⇒3x=99⇒x=33⇒(x+9)=56100(2x+9)⇒(x+9)=1425(2x+9)⇒25x+225=28x+126⇒3x=99⇒x=33

Then (x+9)=33+9=42(x+9)=33+9=42

Hence their marks are 33 and 42