The sum of two numbers is 30. One number is 5 times larger than the other. What are the two numbers?A) 5 and 25B) 10 and 20C) 6 and 24D) 5 and 6
Question
The sum of two numbers is 30. One number is 5 times larger than the other. What are the two numbers?A) 5 and 25B) 10 and 20C) 6 and 24D) 5 and 6
Solution
Let's solve this step by step:
Step 1: Let's denote the smaller number as x. According to the problem, one number is 5 times larger than the other, so we can denote the larger number as 5x.
Step 2: The problem states that the sum of the two numbers is 30. So, we can set up the following equation: x + 5x = 30
Step 3: Simplify the equation: 6x = 30
Step 4: Solve for x: x = 30 / 6 = 5
Step 5: Substitute x = 5 back into the equation x + 5x = 30 to find the larger number: 5 + 5*5 = 30, so the larger number is 25.
So, the two numbers are 5 and 25. Therefore, the answer is A) 5 and 25.
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