Question

Ratio of two number is 3:8 and the sum of square is 292.find the sum of number

Answer 1

No. = 3x , 8x

(3x)^2 + (8x)^2 = 292

9x^2 + 64x^2 = 292

73x^2 = 292

x^2 = 292/73 = 4

x = 2

no. = 3x = 3 x 2 = 6

8x = 8 x 2 = 16

sum of no. = 6 + 16 = 22

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Answer 2

Given:

Ratio of two number is = 3:8

The sum of squares of the number is = 292

To find:

The sum of the numbers.

Solution:

Let us assume that the two number are 3x and 8x. Then the equation formed will be:

(3x)² + (8x)² = 292

9x² + 64x² = 292

73x² = 292

x² = 292/73 = 4

x = 2

Thus, the two numbers will be:

= 3x = 3 x 2 = 6

= 8x = 8 x 2 = 16

And the sum of the two numbers will be:

= 6+ 16 = 22

Thus, the sum of the two numbers will be 22.