Question

Find two positive numbers if their ratio is 8:5 and the difference is 150.

Answer 1

To find the two positive numbers with a ratio of 8:5 and a difference of 150, set up a system of equations using the common factor x. Solve for x and find the two numbers, which are 400 and 250.

Step-by-step explanation:

The question asks to find two positive numbers where their ratio is 8:5 and their difference is 150. To solve this, we can set up a system of equations. Assume the first number is 8x and the second number is 5x, where x is a common factor. Based on their ratio, we have:

8x / 5x = 8 / 5

The difference given by the problem is:

8x - 5x = 150

Solving for x:

3x = 150

x = 150 / 3

x = 50

Now, we can find the two positive numbers:

First number = 8x = 8(50) = 400

Second number = 5x = 5(50) = 250

Therefore, the two positive numbers that satisfy the conditions are 400 and 250.

Answer 2

8+5=13
so it will be
8/13×150 AND 5/13×150
=92.3 AND =57.7
TO CHECK IF THE ANSWERS ARE CORRECT
92.3+57.7=150
SO THE ANSWER IS CORRECT