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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

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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.}


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