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Mathematics

Two numbers are in the ratio 5 : 3. If their difference is 18; the numbers are:

  1. 27 and -45

  2. 45 and -27

  3. 45 and 27

  4. -45 and -27

Linear Eqns One Variable

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Answer

Two numbers are in the ratio 5 : 3

Let the 2 numbers be 5x and 3x.

Difference of two number be 18.

⇒ 5x - 3x = 18

⇒ 2x = 18

⇒ x = 182\dfrac{18}{2}

⇒ x = 9

So, the 2 numbers are 5 x 9 = 45 and 3 x 9 = 27.

Hence, option 3 is the correct option.

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