three numbers r in the ratio 1:2:3 the sum of their cubes to 98784.find the numbers
Answers
Answered by
5
Let the numbers be
1x
2x
3x
Sum of cube
(x)²+(2x)²+(3x)²=98784
x²+4x²+9x²=98784
14x²=98784
x²=98784/14
x²=7056
x=√7056
x=84
Numbers are =84,168 and 252
1x
2x
3x
Sum of cube
(x)²+(2x)²+(3x)²=98784
x²+4x²+9x²=98784
14x²=98784
x²=98784/14
x²=7056
x=√7056
x=84
Numbers are =84,168 and 252
Answered by
3
Let the first no. be 1x
Let second no. be 2x
Let third no. be 3x
According to question, we have given the sum of all numbers.
Therefore; x + 2x + 3x = 98784
6x = 98784
x = 98784/ 6
x = 16464
Therefore, 1st no. = x = 16464
2nd no. = 2x = 2× 16464 = 32928
3rd no. = 3x = 3× 16464 = 49392
I HOPE IT HELPS
Let second no. be 2x
Let third no. be 3x
According to question, we have given the sum of all numbers.
Therefore; x + 2x + 3x = 98784
6x = 98784
x = 98784/ 6
x = 16464
Therefore, 1st no. = x = 16464
2nd no. = 2x = 2× 16464 = 32928
3rd no. = 3x = 3× 16464 = 49392
I HOPE IT HELPS
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