Two numbers are in the ratio 7:9, if the sum of the numbers is 112, then the larger number is:

🧠 Explanation:

Two numbers in the ratio 7:9 with a sum of 112 are found as follows: let the numbers be 7x and 9x. Their sum, 7x+9x = 16x = 112, gives x = 7. Thus, the numbers are 49 and 63, with the larger being 63. This problem involves solving ratios and linear equations, fundamental in mathematics. Understanding such calculations is essential for fields like economics, engineering, or data analysis, where proportional relationships and precise computations drive decision-making and problem-solving in practical scenarios.