Question

The ratio of three number is 3:4:5 and the sum of their square is 1250, then the sum of numbers is?

Answer 1

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

Sum of the squares of these = 1250

A/q,

➡ (3x)² + (4x)² + (5x)² = 1250

➡ 9x² + 16x² + 25x² = 1250

➡ 50x² = 1250

➡ x² = 1250/50

➡ x² = 25

➡ x = 5.

Therefore, three numbers are :-

➡ 3x = 3(5) = 15

➡4x = 4(5) = 20

➡ 5x = 5(5) = 25

Now,

Sum of these numbers = 15 + 20 + 25

➡ 60.

Required answer is 60

Hope it will help you !!!

Answer 2

$\textbf{Hey Mate!!}$

Given,

Ratios of three numbers = 3:4:5

Sum of their squares = 1250

ATP,

$(3 {x})^{2} +( 4 {x})^{2} +( 5 {x})^{2} = 1250 \\ \\ 9 {x}^{2} + 16 {x}^{2} + 25 {x}^{2} = 1250 \\ \\ 50 {x}^{2} = 1250 \\ \\ {x}^{2} = \frac{1250}{50} \\ \\ {x}^{2} = 25 \\ \\ x = 5$

Therefore, the numbers are 15, 20and 25

Sum of numbers = 60

HOPE THIS HELPS U...