Question

Find three positive numbers in the ratio 2 : 3:5, the sum of whose squares is 950,
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Answer 1

Step-by-step explanation:

It is given that

Ratio of three positive numbers =2:3:5

Sum of their squares =950

Consider

First number 2x

Second number 3x

Theird number =5x

It can be written as

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

By further calculation

4x2+9x2+25x2=950

38x2=950

SO we get

X2=950/38=25

x=25=5

Here

First number =2×5=10

Second number =3×5=15

Third number =5×5=25

Hope it helps u !!

Answer 2

Step-by-step explanation:

let the numbers be 2x, 3x, 5x

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

100x^2= 950

x=√950/100

x=30.8/10

x= 3.08 or 3(approximately)

2x=2(3)=6

3x= 3(3)= 9

5x= 5(3)= 15