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Question
Find the values of x and y if a and b are in inverse proportion:
- 12 x 8
- 30 5 y
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Solution
In an inverse proportion,
When we multiply the first quantity by any constant k, then the another quantity is divided by the same constant k.
Given,
| a | 12 | x | 8 |
| b | 30 | 5 | y |
Here, we see that in part (b), when we divide 30 by 6, we will get 5.
So, in part (a), we will get the value of x.
i.e. x = 12 × 6 = 72
Similarly, in part (a), when we divide x i.e. 72 by 9, we will get 8.
So, in part (b), we will get the value of y.
i.e. y = 5 × 9 = 45
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