The ratio of two numbers is 3:5, the smallest number is 45 what is the larger number?
x = larger number
45 / x = 3 / 5 Multiply both sides by 5
45 * 5 / x = 3
225 / x = 3 Multiply both sides by x
225 = 3 x Divide both sides by 3
225 / 3 = x
75 = x
x = 75
Proof:
45 / 75 = ( 3 * 15 ) / ( 5 * 15 ) = 3 / 5
rfr6f
To find the larger number, we need to determine the ratio between the two numbers.
The given ratio is 3:5, which means the smaller number is divided into 3 equal parts and the larger number is divided into 5 equal parts.
Since the smallest number is given as 45, we can find the size of one part by dividing 45 by 3:
45 / 3 = 15
Therefore, each part represents 15.
To find the larger number, we multiply the size of one part by the number of parts for the larger number:
15 * 5 = 75
Therefore, the larger number is 75.
To find the larger number, we need to use the ratio given.
The ratio of two numbers, 3:5, indicates that for every 3 parts of the first number, there are 5 parts of the second number.
We know that the smallest number is 45.
To find the larger number, we can set up a proportion.
Let's assume the larger number is "x".
Using the ratio, we can write the proportion as:
3/5 = 45/x
To solve for "x", we can cross-multiply:
3 * x = 5 * 45
3x = 225
To isolate "x", we divide both sides of the equation by 3:
x = 225 / 3
x = 75
Therefore, the larger number is 75.