Question

60 students appeared in an examination. On an average they got 45 marks. Those who passed got on an average 55 marks and those who failed 30 marks, find out the number of candidates who passed.​

Answer 1

Answer:

Let the number of the passed candidates=x.

Then the number of the failed candidates=120-x.

Now the total of the marks obtained by 120

$\sf \: candidates=60×45=2700$

The total of the marks obtained by passed

$\sf \: candidates=(60−x)×30=2700$

The total of the marks obtained by passed

$\sf \: candidates=55×x=55x. and$

the total of the marks obtained by failed

$\sf \: candidates=(60−x)×30=2700$

Then the total=39x+(120−x)×15=4200

$\sf⟹24x=2700−1800$

$\implies \sf \: x=100$

So the number of passed candidates=100.

Answer 2

Answer:

So the number of passed candidates=100