Question

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The sum of squares of three numbers is 2964. If the ratio of the first and the second number and the ratio of
2900910
the second and the third number each is 2:5. Find the sum of the three numbers.​

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