Question

Three natural numbers are in the ratio 3:4:5 and the sum of their squares is 11250. Find the numbers.

Answer 1

Answer:

➡180

Step-by-step explanation:

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

Sum of the squares of these = 11250

A/q,

➡ (3x)² + (4x)² + (5x)² = 11250

➡ 9x² + 16x² + 25x² = 11250

➡ 50x² = 11250

➡ x² = 11250/50

➡ x² = 225

➡ x = 15.

Therefore, three numbers are :-

➡ 3x = 3(15) = 45

➡4x = 4(15) = 60

➡ 5x = 5(15) = 75

Now,

Sum of these numbers = 45 + 60 + 75

➡ 180.