The ratio of three numbers is 3 4 5
Asked by admin @ in Math viewed by 291 People
The ratio of three number is 3:4:5 and the sum of their square is 1250, then the sum of numbers is?
Answered by admin @
Let the three numbers be 3x, 4x and 5x.
Sum of the squares of these = 1250
A/q,
➡ (3x)² + (4x)² + (5x)² = 1250
➡ 9x² + 16x² + 25x² = 1250
➡ 50x² = 1250
➡ x² = 1250/50
➡ x² = 25
➡ x = 5.
Therefore, three numbers are :-
➡ 3x = 3(5) = 15
➡4x = 4(5) = 20
➡ 5x = 5(5) = 25
Now,
Sum of these numbers = 15 + 20 + 25
➡ 60.
Required answer is 60
Hope it will help you !!!
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