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Question

Two numbers are in the ratio 2 : 5 . If 16 is added to both the numbers , their ratio becomes 1 : 2 . The numbers are -

16,40

20,50

28,70

32,80

ANSWER : 4

Descrption

<pre>
Let, Two numbers are 
2x and 5x
ATQ, <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mi>x</mi><mo>  +  </mo><mn>16</mn></mrow><mrow><mn>5</mn><mi>x</mi><mo>  +  </mo><mn>16</mn></mrow></mfrac><mo> = </mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mn>5</mn><mi>x</mi><mo>  +  </mo><mn>16</mn><mo> = </mo><mn>4</mn><mi>x</mi><mo>  +  </mo><mn>32</mn><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mn>5</mn><mi>x</mi><mo> - </mo><mn>4</mn><mi>x</mi><mo> = </mo><mn>32</mn><mo> - </mo><mn>16</mn><mspace linebreak = "newline"/><mo>.</mo><mo>'</mo><mo>.</mo><mo>&#xA0;</mo><mi>x</mi><mo> = </mo><mn>16</mn><mspace linebreak = "newline"/><mi>T</mi><mi>w</mi><mi>o</mi><mo>&#xA0;</mo><mi>n</mi><mi>u</mi><mi>m</mi><mi>b</mi><mi>e</mi><mi>r</mi><mi>s</mi><mo>&#xA0;</mo><mi>a</mi><mi>r</mi><mi>e</mi><mspace linebreak = "newline"/><mn>32</mn><mo>&#xA0;</mo><mi>a</mi><mi>n</mi><mi>d</mi><mo>&#xA0;</mo><mn>80</mn><mo>&#xA0;</mo></math>
</pre>

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