x and y vary inversely, x=9 when v=4
Find y when x = 18.
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Question : x and y vary inversely, x=9 when y=4
Find y when x = 18
Answer :
x ∝
xy = k (Where k is constant)
By putting the values of x and y,
x = 9 and y = 4
=> 9 * 4 = k
=> 36 = k
∴ The value of k is 36
When x = 18 and y = ?
xy = k
By putting the values of x and k,
=> 18 * y = 32
=> y =
=> y = 2
Verification for both the cases :-
(i) When x = 9 and y = 4
xy = k
=> 9 * 4 = 36
=> 36 = 36
∴ LHS = RHS
(ii) When x = 18 and y = 2
xy = k
=> 18 * 2 = 36
=> 36 = 36
∴ LHS = RHS
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