two numbers are in the ratio 2:3 and the difference of their squares is 320 .the numbers are
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ANSWER
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Please refer to the attachment for the solution...
ANS ) The numbers are 16 and 24.
___________________________________
#BE BRAINLY
=========
Please refer to the attachment for the solution...
ANS ) The numbers are 16 and 24.
___________________________________
#BE BRAINLY
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Given :-
two number are in the ratio 2:3
difference of their square is 320
solutions,
let the number be 2x and 3x
Now,
square of 2x = (2x)² = 4x²
square of 3x = (3x)² = 9x²
According to questions,
=> 9x² - 4x² = 320
=> 5x² = 320
=> x² = 320/5
=> x² = 64
=> x =
=> x = 8
number are :-
i) first no = 2x = 2×8 = 16
ii) second no = 3x = 3×8 = 24
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