Three numbers are in the ratio 3:4:5. If the sum of the largest and that smallest equals the sum of the second and 52, find the numbers.

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Solution

Let the numbers be 3x, 4x and 5x

so, the largest number =5x, smallest number=3x

By question, 5x+3x = 4x + 52

8x = 4x+52

4x = 52

x = 13

Hence 3x=39, 4x=52, 5x=65

Hence the numbers are 39, 52, 65 Ans.

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105

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