Question

three numbers are in ratio 2 ratio 3 ratio 4 the sum of their cubes is 33957 find the numbers​

Answer 1

hiiii mate here is ur answer....

hope it's helpful......

Answer 2

$\huge{\bold{\underline{Solution-:}}}$

Let the ratios be x then, three numbers will be 2x, 3x and 4x ...........(1)

$\bold{\underline{Given}}$

$2 {x}^{3} + 3 {x}^{3} + 4 {x}^{2} = 33957 \\ \\ 8 {x}^{3} + 27 {x}^{3} + 64 {x}^{3} = 33957 \\ \\ 99 {x}^{3} = 33957 \\ \\ {x}^{3} = \frac{33957}{99} \\ \\ {x}^{3} = 343 \\ \\ x = 7$

$\bold{\underline{Keeping\ the\ value\ of\ x\ in\ eq\ (1)}}$

2x = 2 × 7 = 14

3x = 3 × 7 = 21

4x = 4 × 7 = 28

$\boxed{\bold{\underline{So\ the\ numbers\ are\ 14\ 21\ 28}}}$