Three numbers are in ratio 2:3:4 .The sum of squares pf these number is 1044. Find the sum of these numbers.
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Answers
Answered by
4
Answer:
= 12 ,18 ,24
Step-by-step explanation:
= Let the number be 2x, 3x,4x and sum of their squares is 1044
= ( 2x)² + (3x )² + ( 4x)² = 1044
= 4x² + 9x² + 16x² = 1044
= 29x² = 1044
= x² = 1044 / 29
= x² = 36
= x = root of 36
= x = 6
= 2x = 2x6 = 12
= 3x = 3×6 = 18
= 4x = 4×6 = 24
hope it helps
Answered by
0
Answer:= 12 ,18 ,24
Step-by-step explanation:
= Let the number be 2x, 3x,4x and sum of their squares is 1044
= ( 2x)² + (3x )² + ( 4x)² = 1044
= 4x² + 9x² + 16x² = 1044
= 29x² = 1044
= x² = 1044 / 29
= x² = 36
= x = root of 36
= x = 6
= 2x = 2x6 = 12
= 3x = 3×6 = 18
= 4x = 4×6 = 24
hope it helps
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