Yes this is valid for any positive number (integers, decimals, fractions, surds etc)
You can see it like this.
Hence x/y = (3y+2)/y = 3+2/y hence>3.
Statement 2: 2x/3y >2: hence multiplying 3/2 both sides of inequality, we get x/y>3.
Sufficient.
Bunuel niks18 amanvermagmat gmatbusters chetan2uQuote:
If x and y are positive, is the ratio of x to y greater than 3 ?[/b]
Is \(\frac{x}{y}>3\)? --> since y is positive, we can multiply both sides by it to get: is \(x>3y\)?
(1) x is 2 more than 3 times y --> \(x=3y+2\) --> directly tells us that \(x\) is 2 more than \(3y\). Sufficient.
Why does this hold true even for decimal values though we are not mentioned that x and y are integers in questions stem?