SOLUTION: The sum of three numbers is 62.THe Second number is equal to the first number diminished by 4. The third number is four times the first. What is the largest number

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Question 493785: The sum of three numbers is 62.THe Second number is equal to the first number diminished by 4. The third number is four times the first. What is the largest number
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
Let's give these three numbers a name, since we do not know anything else about these numbers. Let's call the first number x, second y, and third z.
So we know that x%2By%2Bz+=+62.
We also know that y=x-4.
And we also know that z=4x
Now notice that we have x,y,z all in terms of x.
So, x%2B%28x-4%29%2B4x+=+62.
Simplify.
6x+-4+=+62
6x+=+66
x+=+11
But is x our smallest value?
We know that y = x-4. So y is smaller than x, and in fact it is 7 (by substitution).
We know that z =4x, so z = 44. 44 is in fact larger than 11 and 7.
So your answer is 44.
Let's make sure that these numbers add back up to 62.
44+11+7 = 62 is TRUE.
Thus 44 is the largest number.