The sum of three numbers is 576. One of the numbers, n, is 25 percent more than the sum of the other two numbers. what is the value of n?

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Answer:

Step-by-step explanation:

x + y + n = 576

When something is 25% larger than something else, the effect is the same as multiplying by 1.25. Let's try it with an example

20 + (25/100)* 20 = 20 + 500/100 = 20 + 5 = 25. Now if you multiply 20 * 1.25 you get 25 which is just what you should get.

n = 1.25(x + y)                    Divide by 1.25

n / 1.25 = x + y                   Substitute n / 1.25 for x + y in the above equation    

n/1.25 + n = 576                Multiply everything by 1.25  

n + 1.25n = 576*1.25         Combine the left to get 2.25

2.25 n = 576 * 1.25           Divide by 2.25

n = 576*1.25 / 2.25    

n = 320