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Question
A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?
48 years
40 years
36 years
32 years
ANSWER : 2
Descrption
<pre>Let the mother's present age be x years. Then, the person's present age = 2/5 x years. <math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>∴</mo><mfenced><mrow><mfrac><mn>2</mn><mn>5</mn></mfrac><mi>x</mi><mo> + </mo><mn>8</mn></mrow></mfenced><mo> = </mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mfenced><mrow><mi>x</mi><mo> + </mo><mn>8</mn></mrow></mfenced><mspace linebreak = "newline"/><mo>⇒</mo><mn>2</mn><mfenced><mrow><mn>2</mn><mi>x</mi><mo> + </mo><mn>40</mn></mrow></mfenced><mo> = </mo><mn>5</mn><mfenced><mrow><mi>x</mi><mo> + </mo><mn>8</mn></mrow></mfenced><mspace linebreak = "newline"/><mo>⇒</mo><mi>x</mi><mo> = </mo><mn>40</mn></math> </pre>
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