Activity › Discussion › Math › Linear equation › Reply To: Linear equation

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We are given that the sum of two numbers is 95. This means that when we add the two numbers together, we get 95.
Now, it says that one of the numbers exceeds the other by 15. This means that one number is bigger than the other by 15.
Let’s try to solve this problem using a simple approach.
Let’s assume that one of the numbers is X. Since the other number exceeds X by 15, we can add 15 to X to get the second number. So, the second number is X + 15.
Now, we can use the information given to us to create an equation. We know that when we add the two numbers together, we get 95. So, we can write the equation as:
X + (X + 15) = 95
Now, let’s simplify the equation and solve it step by step.
Combining the X terms, we get:
2X + 15 = 95
Next, we want to isolate the X term on one side of the equation. We can do this by subtracting 15 from both sides:
2X = 95 – 15
Simplifying the right side of the equation:
2X = 80
Finally, we want to find the value of X, so we can divide both sides of the equation by 2:
X = 80 / 2
Simplifying further:
X = 40
So, one of the numbers is 40.
To find the second number, we can substitute the value of X back into our equation:
Second number = X + 15 Second number = 40 + 15 Second number = 55
Therefore, the two numbers are 40 and 55.
In summary, if the sum of two numbers is 95 and one number exceeds the other by 15, then the numbers are 40 and 55. This means that one number is 40 and the other number is 55.