SOLUTION: The sum of three number is 65. The first is twice the second. The third is the result obtained by subtracting 5 from the second. find the largest number.
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Question 305835: The sum of three number is 65. The first is twice the second. The third is the result obtained by subtracting 5 from the second. find the largest number. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Three numbers, x, y, z; (x is the largest)
The sum of three number is 65.
x + y + z = 65
:
The first is twice the second.
x = 2y
:
The third is the result obtained by subtracting 5 from the second.
z = (y-5)
:
find the largest number.
:
Using the first equation, replace x with 2y and z with (y-5)
2y + y + (y-5) = 65
4y = 65 + 5
4y = 70
y =
y = 17.5
then
x = 2(17.5)
x = 35 is the largest number
and
z = 17.5 - 5
z = 12.5
;
:
Check solution
35 + 17.5 + 12.5 = 65
