One third of Vindo's marks in Mathematics exceeds half of his marks in social studies by 30 , if he got 240 marks in the two subjects together , how many marks did he get in social studies?
One third of Vindo's marks in Mathematics exceeds half of his marks in social studies by 30 , if he got 240 marks in the two subjects together , how many marks did he get in social studies? Correct Answer 60
ধরি, Vindo social studeis এ marks পেয়েছিল = xMathematics এ পেয়েছিল = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>(</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mi>x</mi><mo> + </mo><mn>30</mn><mo>)</mo><mn>3</mn><mo> </mo><mo> = </mo><mo> </mo><mfrac><mrow><mn>3</mn><mi>x</mi></mrow><mn>2</mn></mfrac><mo> + </mo><mn>90</mn><mspace linebreak = "newline"/><mi>x</mi><mo> + </mo><mfrac><mrow><mn>3</mn><mi>x</mi></mrow><mn>2</mn></mfrac><mo> + </mo><mn>90</mn><mo> = </mo><mn>240</mn><mspace linebreak = "newline"/><mo>⇒</mo><mn>2</mn><mi>x</mi><mo> + </mo><mn>3</mn><mi>x</mi><mo> + </mo><mn>180</mn><mo> = </mo><mo> </mo><mn>480</mn><mspace linebreak = "newline"/><mo>⇒</mo><mi>x</mi><mo> = </mo><mfrac><mn>300</mn><mn>5</mn></mfrac><mo> = </mo><mo> </mo><mn>60</mn></math>
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Feb 20, 2025