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Question
Rahim is 40 years old and Karim is 60 years old. How many years ago was the ratio of their ages 3 : 5?
5 years
10 years
20 years
37 years
ANSWER : 2
Descrption
<pre>"ধরি, x বছর আগে তাদের বয়সের অনুপাত 3:5 ছিল। <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo></math> 40 – x : 60 - x = 3 : 5 বা, <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>40</mn><mo> </mo><mo> - </mo><mo> </mo><mi>x</mi></mrow><mrow><mn>60</mn><mo> </mo><mo> - </mo><mo> </mo><mi>x</mi></mrow></mfrac><mo> = </mo><mfrac><mrow><mo> </mo><mn>3</mn></mrow><mn>5</mn></mfrac><mo> </mo></math> বা, 5(40 – x) = 3 (60 – x) বা, 200 – 5x = 180 – 3x বা, 200 – 180 = 5x – 3x বা, 22 = 20 <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo><mo> </mo></math> x = 10 অর্থাৎ 10 বছর আগে তাদের বয়সের অনুপাত 3 : 5 ছিল।" </pre>
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