if a and b vary inversely to each other, then find the value of P, Q, R and S? a 6 8 Q 25 S b 18 P 39 R 3
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If a and b vary inversely to each other.
i.e. ab = k(constant)
For table (a),
a 6 8 Q 25 S b 18 p 39 R 3
If a = 6 and b = 18
Then, a
a×b=6×18⇒ k = 108
When a = 8 and b = p, then
ab = k
⇒ 8×p = 108
27
⇒p= _____
2
When a = q and b = 39, then
ab = k
∴ q× 39 = 108
108 36 2
⇒q= _____=______=______
39 13 1
When a = 25 and b = r, then
ab = k
⇒ 25 × r = 108
108
⇒r= _____
25
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