Question

The product of 3 numbers with the ratio 1: 2: 3 is 750 then the sum of their square is.

Answer 1

let one no. be x then the others are 2x, 3x
now,
x * 2x * 3x = 750
6x^3 = 750
x^3 = 125
x = 5
now the no. are 5, 10,15
now the squares of the no. is
5*5 + 10*10+15*15
25+100+225= 350
hope it helps you if so please mark it as brainliest

Answer 2

Answer:

The sum of square of numbers is 350.

Step-by-step explanation:

Given, the numbers are in the ratio 1:2:3 & their product is 750.

To find: sum of the square of numbers.

Let numbers be x, 2x, 3x.

According to question:

x * 2x * 3x = 750

        6x^3 = 750

          x^3 = 125

              x = 5

So, the numbers are:

5, 10, 15

The sum of the square of numbers is given by:

$5^{2}+10^{2}+15^{2} =25+100+225$

                       $=350$

Therefore, if numbers are in the ratio 1:2:3 with product 750 then the sum of the square of numbers is 350.

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