Question

When 3 times a number m is added to 10, the

result is 9 more than 28. What number results
when the product of m and 2 is added to 5?

Answer 1

To solve this problem, we first solve the equation 3m + 10 = 37 to find the value of m. Then, we substitute that value into the expression 2m + 5 to find the final result.

Step-by-step explanation:

To solve this problem, we need to use algebraic expressions. Let's break down the problem step by step:

1. The first part of the problem states that 3 times a number m is added to 10, resulting in 9 more than 28. So we can write this as 3m + 10 = 28 + 9.
2. Simplifying the equation, we have 3m + 10 = 37.
3. To solve for m, we subtract 10 from both sides of the equation: 3m = 37 - 10 = 27.
4. Dividing both sides of the equation by 3, we find that m = 27/3 = 9.

Now, the second part of the problem asks what number results when the product of m and 2 is added to 5. We can write this as 2m + 5. Substituting the value of m that we found earlier, we have 2(9) + 5 = 18 + 5 = 23. Therefore, the number that results is 23.