Question

three numbers are in the ratio 3:4:5. the sum of their squares is rs 1250. what is the sum of numbers?

Answer 1

Ratio = 3 : 4 : 5

Let x be the constant ratio:

Ratio = 3x : 4x : 5x

Solve x:

Sum of squares is Rs 1250

(3x)² + (4x)² + (5x)² = 1250

9x² + 16x² + 25x² = 1250

50x² = 1250

x² = 1250 ÷ 50

x² = 25

x = √25

x = 5

Find the sum of the numbers:

3x + 4x + 5x = 12x

12x = 12(5) = 60

Answer: The sum of the 3 numbers is 60

Answer 2

$\huge{\ulcorner {\pink {Hey \:mate}}}\rfloor$

✨ $<b>Here's ur answer$

Let the respective no. Be in the ratios of

3x,4x and 5x

Now,

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

✨ Now sum of the numbers is

3x+4x+5x=12x

12x=12*5=60