Solution:

Given:
Two numbers are in the ratio 8:7.
Their sum is 60.

Let the two numbers be 8x and 7x, where x is a common factor.

To find the value of x, we can set up an equation using the given information:
8x + 7x = 60

Simplifying the equation, we have:
15x = 60

Dividing both sides of the equation by 15, we get:
x = 4

Therefore, the value of x is 4.

Now, we can find the two numbers by substituting the value of x back into the ratio:
First number = 8x = 8 * 4 = 32
Second number = 7x = 7 * 4 = 28

The two numbers are 32 and 28.

Explanation:
- We are given that two numbers are in the ratio 8:7. This means that the first number is 8 times the second number.
- We can represent the two numbers as 8x and 7x, where x is a common factor.
- The sum of the two numbers is given as 60. This can be represented as the equation 8x + 7x = 60.
- Simplifying the equation, we get 15x = 60.
- Dividing both sides of the equation by 15, we find that x is equal to 4.
- Substituting the value of x back into the ratio, we find that the first number is 8 * 4 = 32 and the second number is 7 * 4 = 28.
- Therefore, the two numbers are 32 and 28.

In conclusion, the two numbers are 32 and 28.

X y=60 8:7Total parts=8 7=15=8/15*60=8*4=32=7/15*60=7*4=28