The sum of two numbers is 300 and the two numbers have a ratio of 20:10. Find the larger number.
200
200
To solve this problem, we need to break it down into two steps:
Step 1: Find the values of the two numbers using the given ratio.
Step 2: Determine which number is larger.
Let's start with step 1:
1. Given that the ratio of the two numbers is 20:10, we can assume that the numbers can be represented as 20x and 10x, where x is a common multiplier.
2. We know that the sum of the two numbers is 300. So, we can write the equation:
20x + 10x = 300
3. Combine like terms:
30x = 300
4. Divide both sides of the equation by 30 to solve for x:
x = 300 / 30
x = 10
Now that we have the value of x, we can move on to step 2:
1. Since x = 10, we can substitute it back into the equation to find the values of the two numbers:
Larger number = 20x = 20 * 10 = 200
Smaller number = 10x = 10 * 10 = 100
2. Comparing the two numbers, we can see that the larger number is 200.
Therefore, the larger number is 200.