the sum of 2 numbers is 35. one number is 2 1/2 times as big as the other number. find the difference between the 2 addends.
please show how you got the answer.
x + 2.5x = 35
3.5x = 35
x = 10
10 is one of the numbers. What is the other? What is the difference between them?
thank you very much for taking the time to help me.
You're very welcome.
:-)
To find the difference between the two addends, we first need to determine the values of the addends.
Let's assume that the smaller addend is represented by the variable 'x'. According to the problem, the larger addend is 2 1/2 times as big as the smaller addend. Therefore, we can represent the larger addend as '2.5x'.
Now, we know that the sum of these two addends is 35. So we can write the equation:
x + 2.5x = 35
To solve this equation, we need to combine like terms:
3.5x = 35
Next, we isolate the variable by dividing both sides of the equation by 3.5:
x = 35 / 3.5
x = 10
Now that we have the value of the smaller addend, we can substitute this back into the equation to find the value of the larger addend:
2.5x = 2.5 * 10
2.5x = 25
Therefore, the larger addend is 25.
Finally, to find the difference between the two addends, we subtract the smaller addend (10) from the larger addend (25):
25 - 10 = 15
So, the difference between the two addends is 15.