SOLUTION: the sum of three numbers is 83. the largest number is eight times the smallest, and the smallest is three times less than the middle number. find the numbers

Question 1001190: the sum of three numbers is 83. the largest number is eight times the smallest, and the smallest is three times less than the middle number. find the numbers
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
Let's call the smallest number x. The largest number is:
8x And the middle number is:
x+3 (3 times less than middle is the same as the middle is smallest plus 3)
-----------------------------
So now we have that:
x+8x+x+3= 83
10x+3= 83 Subtract 3 on both sides:
10x= 80 Divide both sides by 10:
x= 8
--------------------
Proof:
8+8(8)+(8+3)= 83
8+64+11= 83
83= 83 We have the correct answer
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