Question

Find the ratio a:b, if it is given that 2a=9b Answer:

Answer 1

`\bf 2a=9b\implies \stackrel{\textit{cross-multiplying}}{\cfrac{a}{b}=\cfrac{9}{2}}\qquad \qquad a:b\implies 9:2`

Answer 2

The answer is a:b is 9:2.

Explanation:

In order to determine the answer, we have to know about ratio.

A ratio is a fraction of two measures. If a fraction is a/b, we can express this fraction as a:b, so:

a/b=a:b

In this case, we have an expression that shows the variable "a" and "b". So we have to modify this expression to get the correct form of a ratio.

`2a=9b\\(a)/(b)=(9)/(2)`

Then, we express the fraction as:

a:b=9:2

Finally, the ratio for a:b is 9:2.