can anyone tell me how to do this i am so lost.
The sum of two numbers is 37. Their difference is 7. What are the two numbers?
x = one number
so x+7 + x = 37
2x= 30
x=15
other number x+7 or 22
Check 15 + 22 =37
To solve this problem, you can follow these steps:
1. Assign a variable to one of the unknown numbers. Let's call it "x".
2. Write an equation based on the given information. In this case, the sum of the two numbers is 37. So you can write the equation as x + (x + 7) = 37. The second number, x + 7, accounts for the difference of 7 between the two numbers.
3. Simplify the equation. Combine like terms: x + x + 7 = 37. This simplifies to 2x + 7 = 37.
4. Solve for x. Subtract 7 from both sides of the equation: 2x + 7 - 7 = 37 - 7. This simplifies to 2x = 30.
5. Divide both sides of the equation by 2 to isolate x: 2x / 2 = 30 / 2. This simplifies to x = 15.
6. Find the other number. Substitute the value of x back into one of the original equations. Since the difference between the two numbers is 7, you can find the other number by adding 7 to x. In this case, the other number is x + 7, so substitute x = 15 into x + 7: 15 + 7 = 22.
7. Check your answer. Add the two numbers together: 15 + 22 = 37, which matches the given sum of the two numbers.
Therefore, the two numbers are 15 and 22.