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Sagot :
The smaller of the two number is 10.
What are Ratios?
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
In simple words, the ratio is the number that can be used to express one quantity as a fraction of the other ones. The two numbers in a ratio can only be compared when they have the same unit. We make use of ratios to compare two things.
Given:
Ratio of two Positive number = 5:6
Let , the smaller number be 5x
then , the bigger number = 6x
According to the question,
product of these numbers = 120
Therefore,
[tex]5x * 6x = 120\\30x^{2} = 120\\x^{2} =4\\x = 2[/tex]
Smaller number = 5x = 5*2 = 10.
Hence, the smaller of the two number is 10.
Learn more about Ratios at:
https://brainly.com/question/2914376
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