Question

Find three positive numbers in the ratio 2 3 5 the sum of whose square 950

Answer 1

Let the three positive numbers be 2x , 3x and 5x

According to the question :

( 2x ) ^2 + ( 3x ) ^2 + ( 5x ) ^2 = 950

4x^2 + 9x^2 + 25x^2 = 950

38x^2 = 950

x^2 = 950 / 38

x^2 = 25

x = root 25

x = 5

2x = 2 × 5 = 10

3x = 3 × 5 = 15

5x = 5 × 5 = 25

So the three positive numbers are 10 , 15 and 25

Hope it helps you.

Answer 2

Let the no. Be 2x, 3x and 5x
according to question
(2x) ^2+ (3x) ^2 +(5x)^2=950
4xx + 9xx +25xx= 950
Xx(4+9+25)=950
Xx(38)=950
Xx= 950/38
Xx= 25
This implies x= 5
And the numbers are..... 10, 15 & 25