Three numbers in the ratio 5:3:2. If the sum of their squares is 5472, find the three
Answers
Answer:
Numbers are 60, 36 and 24
Step-by-step explanation:
Given that numbers are in ratio 5: 3: 2
Thus, numbers are 5x, 3x and 2x
Also, given that sum of squares of numbers is 5472
Thus, we have
(5x)^2 + (3x)^2 + (2x)^2 = 5472
25x^2 + 9x^2 + 4x^2 = 5472
38x^2 = 5472
x^2 = 144
x= ± 12
Number can never be negative
Thus, x = 12
Hence, three numbers are as follows
5 × 12 = 60
3 × 12 = 36
2 × 12 = 24
Thus, numbers are 60, 36 and 24
Answer:
Numbers are 60, 36 and 24
Step-by-step explanation:
Given that numbers are in ratio 5: 3: 2
Thus, numbers are 5x, 3x and 2x
Also, given that sum of squares of numbers is 5472
Thus, we have
(5x)^2 + (3x)^2 + (2x)^2 = 5472
25x^2 + 9x^2 + 4x^2 = 5472
38x^2 = 5472
x^2 = 144
x= ± 12
Number can never be negative
Thus, x = 12
Hence, three numbers are as follows
5 × 12 = 60
3 × 12 = 36
2 × 12 = 24
Thus, numbers are 60, 36 and 24