The difference between two numbers is 15. if 8 is added to twice the greater number, the result is 4 less than 3 times the lesser number. find the two numbers.

Step-by-step explanation:

Let be the greater number and be the smaller number. We know that their difference is 15, so we have

Then, we have the following information: if we add twice the greater (2x) and 8 (2x+8), the result is 3 times the lesser (3y) minus four (3y-4). So, we have

So, we have the follwing system:

From the first equation, we can derive , and substitute this expression in the second equation to get

Substitute this value for y in the first equation to get

2

step-by-2step explanation:

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d

step-by-step explanation: