If a and b vary inversely to each other, then find the values of p, q, r: x, y, z and l, m, n.
(i)
(ii)
(iii)
If a and b vary inversely to each other.
i.e. ab = k(constant)
For table (a),
If a = 6 and b = 18
Then, a
⇒ k = 108
When a = 8 and b = p, then
ab = k
⇒ 8×p = 108
⇒
When a = q and b = 39, then
ab = k
∴ q× 39 = 108
⇒
When a = 25 and b = r, then
ab = k
⇒ 25 × r = 108
⇒
For table (b),
If a = 6 and b = 15
Then, a
⇒ k = 90
When a = 2 and b = x, then
ab = k
⇒ 2× x = 90
⇒
When a = y and b = 12.5, then
ab = k
∴ y× 12.5 = 90
⇒
When a = 10 and b = z then
ab = k
⇒ 10 × z = 90
⇒
For table (c),
If a = 6 and b = 1
Then, a
⇒ k = 60
When a = l and b = 5, then
ab = k
⇒ l×5 = 60
⇒
When a = 9 and b = m, then
ab = k
∴ 9× m = 60
⇒
When a = n and b = 25, then
ab = k
⇒ n × 25 = 60
⇒