Question

04
Find three numbers in the ratio of 2:3:5 such that the sum of their squares is equal to
1.116.
In​

Answer 1

Answer:

Suppose, the three numbers = 2z, 3z and 5z

As per question,

(2z)  

2

+(3z)  

2

+(5z)  

2

=608

or 4z  

2

+9z  

2

+25  

2

=608

or 38z  

2

=608

or z  

2

=608÷38

or z  

2

=16

or z  

2

=(4)  

2

 

or z=4

Hence, the three numbers are

2×z=2×4=8

3×z=3×4=12

5×z=5×4=20