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प्रश्न
l varies directly as m and l is equal to 5, when `m = 2/3`. Find l when `m = 16/3`.
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उत्तर
If l varies directly as m.
∴ `l/m = k` = (constant)
If l = 5 and m = `2/3`
∴ `l/m = 5/(2/3)`
= `5/1 xx 3/2`
= `15/2`
⇒ `k = 15/2`
When `m = 16/3`, then from equation (i),
`l/(16/3) = 15/2` ...[Putting the value of k]
⇒ `l = 15/2 xx 16/3 = 40`
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संबंधित प्रश्न
In which of the following tables x and y vary directly?
(i)
| a | 7 | 9 | 13 | 21 | 25 |
| b | 21 | 27 | 39 | 63 | 75 |
(ii)
| a | 10 | 20 | 30 | 40 | 46 |
| b | 5 | 10 | 15 | 20 | 23 |
(iii)
| a | 2 | 3 | 4 | 5 | 6 |
| b | 6 | 9 | 12 | 17 | 20 |
(iv)
| a | 12 | 22 | 32 | 42 | 52 |
| b | 13 | 23 | 33 | 43 | 53 |
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