The ratio of the age of a man and his wife is 4:3. At the time of their marriage the ratio was 5:3 and after 4 years this ratio will become 9:7. How many years ago were they married?
The ratio of the age of a man and his wife is 4:3. At the time of their marriage the ratio was 5:3 and after 4 years this ratio will become 9:7. How many years ago were they married? Correct Answer 12 years
Let, gentleman's current age be g, women's w, and they were m years ago married. Now, <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mi>g</mi><mi>w</mi></mfrac><mo> </mo><mfrac><mn>4</mn><mn>3</mn></mfrac></math> and,<math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>g</mi><mo> + </mo><mn>4</mn></mrow><mrow><mi>w</mi><mo> + </mo><mn>4</mn></mrow></mfrac><mo> = </mo><mfrac><mn>9</mn><mn>7</mn></mfrac></math>and, <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>g</mi><mo> - </mo><mi>m</mi></mrow><mrow><mi>w</mi><mo> - </mo><mi>m</mi></mrow></mfrac><mo> </mo><mo> = </mo><mo> </mo><mfrac><mn>5</mn><mn>3</mn></mfrac></math> Solving, g = 32, m = 12, w = 24