If x and y varies inversely and x = 10 when y = 25, find x when y = 40 class 8
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2
Answer:
the x will be 25 because x is lower than 15 units by y
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SOLUTION
GIVEN
x and y varies inversely and x = 10 when y = 25
TO DETERMINE
The value of x when y = 40
EVALUATION
Here it is given that x and y varies inversely
⇒ x ∝ 1/y
⇒ x = k/y
⇒ xy = k - - - - - - (1)
Now x = 10 when y = 25
⇒ 10 × 25 = k
⇒ k = 250
From Equation 1 we get
xy = 250
When y = 40 we have
40x = 250
⇒ x = 6.25
FINAL ANSWER
Hence the required value of x = 6.25
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