Find three numbers in the ratio 2:3:5, the sum of whose squares is 608.
Answers
Answered by
24
Answer:
Step-by-step explanation:
let the three numbersa, b, c, be 2x, 3x, 5x.
we know that
(2x) ^2+ (3x) ^2 + (5x)^2= 608
4x^2 + 9x^2 + 25x^2 = 608
38x^2 = 608
x^2= 608/38
x^2=16
x= √16
x= 4
a= 2x = 2*4=8
b=3x= 3*4=12
c = 5x= 5*4=20
therefore, the three numbers are 8,12,20
Answered by
14
HEY MATE ♡♡
_________________
HERE IS YOUR ANSWER :
Let the numbers be 2x,3x and 5x
According to the question
(2x)^2+(3x)^2+(5x)^2=608
4x^2+9x^2+25x^2=608
38x^2=608
x^2=608/38
x^2=16
x=4
2x=2×4=8
3x=3×4=12
4x=4×4=16
____________________
HOPE IT HELPED YOU ^_^
_________________
HERE IS YOUR ANSWER :
Let the numbers be 2x,3x and 5x
According to the question
(2x)^2+(3x)^2+(5x)^2=608
4x^2+9x^2+25x^2=608
38x^2=608
x^2=608/38
x^2=16
x=4
2x=2×4=8
3x=3×4=12
4x=4×4=16
____________________
HOPE IT HELPED YOU ^_^
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