Two numbers are in the ratio of 15:11. If the HCF of numbers is 13, find the…

To find two numbers when you know their ratio and their Highest Common Factor (H.C.F.), you can use a simple algebraic approach.

The Concept
When two numbers are in a ratio (for example, a:b), you can represent the actual numbers as a * x and b * x, where x is the H.C.F. of the two numbers.

Step-by-Step Calculation
Identify the given values:

Ratio of the numbers = 15:11

H.C.F. (x) = 13

Represent the numbers:

First number = 15 * 13

Second number = 11 * 13

Calculate the values:

First number = 15 * 13 = 195

Second number = 11 * 13 = 143

Therefore, the two numbers are 195 and 143.