SOLUTION: three numbers added together total 500. The second number is four times the first and the third is five times the second. Find each number

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Question 1030755: three numbers added together total 500. The second number is four times the first and the third is five times the second. Find each number
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three numbers added together total 500. The second number is four times the first and the third is five times the second. Find each number
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Let x be the first number.

Then the second is 4x, and the third is 5*(4x) = 20x.

The sum of the three numbers is 

x + 4x + 20x = 25x,

and it is 500 according to the condition.

So, you have an equation

25x = 500,

which gives x = 500%2F25 = 20.

So, the first number is 20.

Then the second is 4x = 4*20 = 80,  and the third number is 5*80 = 400.

Answer.  The first number is 20, the second is 80 and the third is 400.