Question

Three natural numbers are in the ratio 5:6:7 and the sum of their squares is 2750. Find the numbers.

Answer 1

Answer:

25,30 and 35

Step-by-step explanation:

Let the numbers be 5x,6x and 7x respectively

ATQ

(5x)^2 + (6x)^2 + (7x)^2= 2750

25x^2 + 36x^2 + 49x^2 = 2750

110x^2 = 2750

x^2 = 2750/110

x^2 = 25

Therefor x = 5

The natural numbers will be 25,30 and 35

Hope it helped !!! :)