Question

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If three numbers are in the ratio 2: 3: 5 and the sum of their squares is 342,
The middle number will be
In the same way, there are many more.​

Answer 1

Given: Three numbers are in the ratio 2: 3: 5.

To find: The numbers?

Solution:

• Now we have given that three numbers are in the ratio 2: 3: 5.

• Let the common ratio be x, then:

                  the numbers will be 2x , 3x , 5x.

• The sum of their squares is 342, so:

                  4x^2 + 9x^2 + 25x^2 = 342

                  38x^2 = 342

                  x^2 = 342/38

                  x^2 = 171/19

                  x^2 = 9

                  x = ±3

• If x = 3, then numbers will be 6,9,15

• If x = -3, then numbers will be -6,-9,-15

Answer:

            So the numbers are 6,9,15.

Answer 2

Step-by-step explanation:

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