Question

Three positive numbers are in the ratio.....342

Answer 1

ANSWER
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Please refer to the attachment for the answer.....

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#BE BRAINLY

Answer 2

Given,

Ratio of numbers = 2:3:5

Let the common multiple of numbers be x

So , numbers will be 2x, 3x , 5x respectively

Largest Number = 5x

Smallest Number = 2x ( 2<5 or 2x<5x )

According to question,

twice the square of largest number = three times the square of smallest number + 342

$2\times (5x)^{2} = 3\times (2x)^{2} + 342 \\ \\ 2\times 25x^{2} = 3\times 4x^{2} + 342 \\ \\ 50x^{2} = 12x^{2} + 342 \\ \\ 38x^{2} = 342 \\ \\ x^{2} = 9 \\ \\ x = 3 \\ \\ \text{Numbers will be} \\ \\ 2x = 2\times 3 = 6 \\ \\ 3x = 3\times 3 = 9 \\ \\ 5x = 5\times 3 = 15$