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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Answer:
If a and b vary inversely, this means that the product of a and b is constant. Therefore, if a and b are given, we can calculate the constant by multiplying a and b together.
Given values:
a = 6, 8, Q, 25, S
b = 18, P, 39, R, 3
Here the product of a and b is constant and the formula is a*b = k(constant)
So,
618=8P=Q39=25R=S*3=k
From the above equation, we can find the values of P, Q, R, and S by solving for them using the given values of a and b.
For example:
P = 6 * 18 / 8 = 27
Q = 6 * 18 / 39 = 4.5
R = 6 * 18 / 25 = 7.2
S = 6 * 18 / 3 = 36
So, the value of P, Q, R and S are 27, 4.5, 7.2, 36 respectively.
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