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

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
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.
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
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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 =  = 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.

RELATED QUESTIONS
three numbers added together total 300. teh second number is four times the first. the... (answered by rfer)

three numbers added together total 180. The second number is twice the first and the... (answered by addingup)

Three numbers added together total 68. The second number is four more than the first, the (answered by ankor@dixie-net.com)

Three times one number added to five times a second number is 68. Three times the... (answered by checkley79)

If the first and third of three consecutive odd integers are added together, the result... (answered by Earlsdon)

- Find three consecutive numbers such that the sum of the first and three times the... (answered by ewatrrr)

find three consecutive numbers such that the sum of the first and three times the second... (answered by ewatrrr)

the average of three number is 39.if the first number is twice the second and the second... (answered by Stitch)

The sum of three numbers is 109. The first number is 7 less than the second and third... (answered by rfer)