Two numbers are in the ratio of 2 to 3. If the smaller number is 18, the larger number is___.

21

27

36

54

27

Step-by-step explanation:

Let's set up a proportion. The numbers are in a ratio of 2 to 3, and the smaller number is 18, while the larger number is unknown. We can call it x.

smaller/larger=smaller/larger

2/3=18/x

Cross multiply. Multiply the numerator of the first fraction by the denominator of the second. Then, multiply the numerator of the second by the denominator of the first.

2*x=3*18

2x=54

We want to find out what x is. We have to get x isolated. Currently, x is being multiplied by 2. The inverse of multiplication is division. Divide both sides by 2.

2x/2=54/2

x=54/2

x=27

The larger number is 27.

27

Step-by-step explanation:

2:3

18:?

-

2 x 9 = 18

3 x 9 = 27