If the ratio of two numbers is 7:9 and their sum is 128, what are the two number

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Question: If the ratio of two numbers is 7:9 and their sum is 128, what are the two numbers?

Options:

Correct Answer: 56, 72

Solution:

Let the numbers be 7x and 9x. Then, 7x + 9x = 128, 16x = 128, x = 8. Therefore, the numbers are 7*8 = 56 and 9*8 = 72.

If the ratio of two numbers is 7:9 and their sum is 128, what are the two numbers?

If the ratio of two numbers is 7:9 and their sum is 128, what are the two numbers?

Step 1: Understand that the ratio 7:9 means for every 7 parts of the first number, there are 9 parts of the second number.
Step 2: Let the first number be 7x and the second number be 9x, where x is a common multiplier.
Step 3: Write the equation for their sum: 7x + 9x = 128.
Step 4: Combine the terms on the left side: 16x = 128.
Step 5: Solve for x by dividing both sides by 16: x = 128 / 16.
Step 6: Calculate x: x = 8.
Step 7: Find the first number by multiplying 7 by x: 7 * 8 = 56.
Step 8: Find the second number by multiplying 9 by x: 9 * 8 = 72.
Step 9: The two numbers are 56 and 72.

Ratios and Proportions – Understanding how to express relationships between two quantities using ratios and how to solve for unknowns using algebra.
Algebraic Equations – Setting up and solving linear equations based on given conditions.