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Question

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?

12 years

6 years

3 years

2 years

None of these

ANSWER : 1

Descrption

Let, gentleman&#39;s current age be g, women&#39;s w, and they were m years ago married. 
Now, &lt;math xmlns = &quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfrac&gt;&lt;mi&gt;g&lt;/mi&gt;&lt;mi&gt;w&lt;/mi&gt;&lt;/mfrac&gt;&lt;mo&gt;&amp;#xA0;&lt;/mo&gt;&lt;mfrac&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;/math&gt; 
and,&lt;math xmlns = &quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mi&gt;g&lt;/mi&gt;&lt;mo&gt; + &lt;/mo&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;w 
&lt;/mi&gt;&lt;mo&gt; + &lt;/mo&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;mo&gt; = &lt;/mo&gt;&lt;mfrac&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;mn&gt;7&lt;/mn&gt;&lt;/mfrac&gt;&lt;/math&gt; 
and, &lt;math xmlns = &quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mi&gt;g&lt;/mi&gt;&lt;mo&gt; - &lt;/mo&gt;&lt;mi&gt;m&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;w&lt;/mi&gt;&lt;mo&gt; - &lt;/mo&gt;&lt;mi&gt;m&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;mo&gt;&amp;#xA0;&lt;/mo&gt;&lt;mo&gt; = &lt;/mo&gt;&lt;mo&gt;&amp;#xA0;&lt;/mo&gt;&lt;mfrac&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;/math&gt; 
 Solving, g = 32, m = 12, w = 24

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