Mathematics
Grade6
Easy

Question

If the equivalent ratio of 13: a is 65:85, the value of a is ________.

  1. 10
  2. 17
  3. 18
  4. 20

hintHint:

Equivalent ratios are those that can be simplified or reduced to the same value. In other words, two ratios are considered equivalent if one can be expressed as a multiple of the other.

The correct answer is: 17


    We have to find the value of a given that 13:a and 65:85 are equivalent ratios.
    Since, 13:a and 65:85 are equivalent ratios .
    So, 13⁄a = 65⁄85
    => a = (13×85)/ 65 
    => a = 17.
    Hence, the correct option is B.

    We can also find the value of  a by proportion method that is the product of extremes is equal to the product of means.

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