Question

Find the numbers which are in the ratio 2:3:5 and sum of their squares is 10982.

Answer 1

Step-by-step explanation:

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