correct answer is: b) 45 & 60

Explanation

Two numbers ratio are 3 : 4
Let one number is 3x
Another number is 4x
\therefore Their LCM is \left(3x\times4x\right)
=\ 12x
According to the question,
12x\ =\ 180
\rightarrow\ x\ =\ \frac{180}{12}
\rightarrow\ x\ =\ 15
\therefore One number is 3x or \left(3\times15\right)
\rightarrow\ 45
And, another number is 4x or \left(4\times15\right)
\rightarrow\ 60
Ans: One number is 45,
Another number is 60.