SOLUTION: three no. are in the ratio 3:4:5 if the sum of the largest and the smallest equal the sum of the third and 52, find the numbers.

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Question 99704: three no. are in the ratio 3:4:5 if the sum of the largest and the smallest equal the sum of the third and 52, find the numbers.
Answer by edjones(8007) About Me  (Show Source):
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sum of the largest and the smallest equal the sum of the third and 52, find the numbers.
the new triangle must have the sides proportional to 3:4:5
let x= the multiple of each side to make a side of the new triangle.
3x+5x=4x+52
3x+5x-4x=52
4x=52
divide 4 into each side: x=13
13*3=39
13*4=52
13*5=65
Check:
39+65=52+52
104=104
Ed