three numbers are in ratio 1:2:3. the sum of their cubes is 7776. Find the numbers

Asked by siddharth | 18th May, 2015, 01:55: PM

Expert Answer:

S i n c e space t h e space n u m b e r s space a r e space i n space t h e space r a t i o space 1 colon 2 colon 3 comma space w e space h a v e comma x colon 2 x colon 3 x equals 1 colon 2 colon 3 G i v e n space t h a t comma open parentheses x close parentheses cubed plus open parentheses 2 x close parentheses cubed plus open parentheses 3 x close parentheses cubed equals 7776 rightwards double arrow x cubed plus 8 x cubed plus 27 x cubed equals 7776 rightwards double arrow 36 x cubed equals 7776 rightwards double arrow x cubed equals 7776 over 36 rightwards double arrow x cubed equals 216 rightwards double arrow x equals 6 T h u s space t h e space n u m b e r s space a r e colon x comma 2 x comma 3 x equals 6 comma 12 comma 18

Answered by Vimala Ramamurthy | 19th May, 2015, 08:38: AM

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