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Question
If a and b vary inversely to other, then find the values of p, q, r ; x, y, z and l, m, n.
| a | 2 | y | 6 | 10 |
| b | x | 12.5 | 15 | z |
Solution
If a and b vary inversely to other.
i.e. ab = k ...(Constant)
For table,
| a | 2 | y | 6 | 10 |
| b | x | 12.5 | 15 | z |
If a = 6 and b = 15
Then, a × b = 6 × 15 = 90
⇒ k = 90
When a = 2 and b = x, then
ab = k
⇒ 2 × x = 90
⇒ x = `90/2` = 45
When a = y and b = 12.5, then
ab = k
∴ y × 12.5 = 90
⇒ y = `90/12.5` = 7.2
When a = 10 and b = z then
ab = k
⇒ 10 × z = 90
⇒ r = `90/10` = 9
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