Question
If the equivalent ratio of 13: a is 65:85, the value of a is ________.
- 10
- 17
- 18
- 20
Hint:
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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