Question

The sum of two numbers is less than 10. If we subtract the second number from the first, the difference is greater than 3

Answer 1

To find a solution for the given conditions, we can use trial and error or substitution. We can start by assuming values for x and y and check if they satisfy both conditions. By doing this, we find that one possible solution is x = 6 and y = 3.

Step-by-step explanation:

The sum of two numbers is less than 10, which can be represented as x + y < 10. If we subtract the second number from the first, the difference is greater than 3, which can be represented as x - y > 3. To solve these two equations simultaneously, we can use trial and error or substitution. Let's use trial and error to find possible values for x and y that satisfy both conditions.

1. Let x = 5 and y = 4. In this case, x + y = 5 + 4 = 9, which is less than 10. Also, x - y = 5 - 4 = 1, which is not greater than 3. Therefore, this pair of numbers doesn't satisfy both conditions.
2. Let x = 6 and y = 4. In this case, x + y = 6 + 4 = 10, which is equal to 10. Also, x - y = 6 - 4 = 2, which is not greater than 3. Therefore, this pair of numbers doesn't satisfy both conditions.
3. Let x = 7 and y = 4. In this case, x + y = 7 + 4 = 11, which is greater than 10. Therefore, this pair of numbers doesn't satisfy the first condition.
4. Let x = 6 and y = 3. In this case, x + y = 6 + 3 = 9, which is less than 10. Also, x - y = 6 - 3 = 3, which is greater than 3. Therefore, this pair of numbers satisfies both conditions.

Therefore, one possible solution is x = 6 and y = 3.