Question

Ram and Shyam appear for an examination. Ram secure 24 marks more than Shyam and the marks of from your 65% of the sum of marks obtained by both of them. the marks obtained by Ram and Shyam are

Answer 1

let's assume that the marks scored by Ram are denoted by R and the marks scored by Shyam are denoted by S.

Now, according to the question,
R=S+24.......(i) and

I can't understand the question properly. Please tell me the errors in comment section.

So, i am assuming that it is written in question that R= (65/100)(R+S) i.e. the marks scored by Ram are also 65% of the marks scored by Ram and Shyam combined.

R=(65/100)(R+S)
R= (13/7)S.......(ii)


Substituting equation (ii) in equation (i)
(13/7)S= S+24
S=28
and as R=(13/7)S
so R=52

Answer 2

Question : Ram and Shyam appeared for the examination Ram secure 24 marks more than Shyam and the marks of Ram was 65% of the sum of marks obtained by both of them the marks obtained by Ram and Shyam are

$\underline{{\underline{\textbf{\Large\bold ANSWER}}}}\\\\Let\ the\ mark\ secured\ by\ Shyam=x\ marks.\\\\ Then,\ mark\ secured\ by\ Ram=\big(x+24\big) \\\\ ATQ,(According\ to\ question),\ we\ obtain \\\\ x+24=65\%\ of\ (x+24+x)\\\\\implies x+24=\Large\frac{65}{100}\times(2x+24)\\\\\implies x+24=\Large\frac{13}{20}\times2(x+12)\\\\\implies x+24=\Large\frac{13}{10}(x+12)\\\\\implies10x+240=13x+156\\\\\implies3x=84\\\\\implies x=28$

$Hence\ marks\ secured\ by\ Shyam=28\ marks\\\\and\ mark\ secured\ by\ Ram=28+24=54.\\\\\fbox{Ram\ secured\ 52\ marks\ and\ Shyam\ secured\ 28\ marks.}$