Math, asked by surender6619, 3 months ago

In an examination Karan got 10 marks more than Bhavna. Isha got 5 marks less than Bhavna. If Trio get a total of 170, then what is the marks obtained by Isha?

Answers

Answered by Anonymous
87

Stated -

  • Karan got 10 marks more than Bhavna
  • Isha got 5 marks less than Bhavna.
  • Trio got total 170 marks

Asked -

  • The marks obtain by Isha

Analysis -

⠀Question has been told that there is an examination where karan got 10 marks more than bhavna and Isha has been got 5 marks less than bhavna. Trio got total 170 marks then it has been asked that what should be the marks has Isha obtained? Let's find it out!

⠀As given; First we will take the bhavna marks as x then we will make equation by step by step explanation.

\:\twoheadrightarrow Let the marks obtain by Bhavna as x.

The marks obtain by karan = x + 10

The marks obtain by Isha = x — 5

⠀⠀{\underline{\pmb{\bigstar{\sf{\:\:According\:to\:the \:question:}}}}}

\begin{gathered}\\\: \dashrightarrow\sf{x + x + 10 + x - 5 = 170 \:\: \pmb{\{Given\}}}\\\\\\ \dashrightarrow \sf{x \:  +  \: x +  \: x + 10 - 5 = 170} \\\\\\ \dashrightarrow\sf{3x + 5 = 170}\\\\\\\dashrightarrow\sf{3x = 170 - 5}\\\\\\\dashrightarrow\sf{3x = 165}\\\\\\\dashrightarrow\sf{x = \dfrac{165}{3}}\\\\\\\dashrightarrow\underline {\underline{\sf{\red{x = 55}}}}\end{gathered}

Hence, The marks did Bhavna scored is 55

Since,

⠀In above equation, Isha assumed x - 5 marks so we will subtract the the result with number 5

Therefore,

\:\:\:\:\:\dashrightarrow\sf{ x - 5}

\:\:\:\:\:\dashrightarrow\sf{ 55 - 5 }

\:\:\:\:\:\dashrightarrow\underline{\sf{\red{ 50 }}}

  • Karan scored = (x + 10) = 55 + 10 = 65
  • Bhavna scored = 55
  • Isha scored = ( x - 5) = 55 - 5 = 50

Final Answer -

⠀⠀⠀⠀\rightarrowtail Hence, Isha scored 50 marks in her examination.

___________________________________________________

Answered by Anonymous
15

Given that , In an examination Karan got 10 marks more than Bhavna , Isha got 5 marks less than Bhavna &Trio get a total of 170 .

Need To Find : The marks obtained by Isha ?

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

❍ Let's Consider marks obtained by Bhavna be a .

⠀⠀⠀⠀⠀⠀⠀As , Per the question ,

⠀⠀⠀➠ Karan got 10 marks more than Bhavna .

Therefore,

  • Karan got ( a + 10 ) marks in Examination.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀AND ,

⠀⠀⠀➠ Isha got 5 marks less than Bhavna

Therefore,

  • Bhavna got ( a - 5 ) marks in Examination.

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

⠀⠀⠀⠀⠀⠀\underline {\boldsymbol{\star\:According \: to \: the \: Question \::}}\\

⠀⠀☆⠀The trio ( Bhavna , Karan & Isha ) got a sum of mark of 170 .

\qquad \dashrightarrow \sf Marks \:_{(\: Bhavna \:)} \:\: + \:\: Marks \:_{(\: Karan \:)} \:\: + \:\: Marks \:_{(\: Isha \:)} = \:\:170\:\:\\\\

\qquad \dashrightarrow \sf a \:\: + \:\: \bigg( \: a + 10 \:\bigg)  \:\: + \:\: \bigg( \: a - 5 \:\bigg)  = \:\:170\:\:\\\\

\qquad \dashrightarrow \sf a \:\: + \:\:  \: a + 10 \: \:\: + \:\:  \: a - 5 \:  = \:\:170\:\:\\\\

\qquad \dashrightarrow \sf a \:\: + \:a \: +  \: a + 10 \: -\: 5 \:  = \:\:170\:\:\\\\

\qquad \dashrightarrow \sf 3a \:\: +\:\; 10 \: -\: 5 \:  = \:\:170\:\:\\\\

\qquad \dashrightarrow \sf 3a \:\: +\:\; 5 \:  = \:\:170\:\:\\\\

\qquad \dashrightarrow \sf 3a \:\: \:  = \:\:170\:- \:5\:\\\\

\qquad \dashrightarrow \sf 3a \:\:  \:  = \:\:160\:\:\\\\

\qquad \dashrightarrow \sf a \:\:  \:  = \cancel{\dfrac{\:\:160}{3}}\:\\\\

\qquad \dashrightarrow \sf a \:\:  \:  = 55\:\\\\

\qquad \therefore \:\: \underline{\boxed{\purple {\pmb {\frak{ \:\: a\:\:\:=\: 55 \:\:}}}}}\\\\

Therefore,

  • Marks got by by Bhavna is a = 55 .
  • Marks got by Karan is ( a + 10 ) = 55 + 10 = 65 .
  • Marks got by Isha is ( a - 5 ) = 55 - 5 = 50 .

\qquad \therefore \:\:\underline {\sf Hence,\:Marks \:got \:by \:Isha \:is \: \bf \:50\:\:}.\\\\

Similar questions