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Question
If 2250 = 2a. 3b. 5c, find a, b and c. Hence, calculate the value of 3a x 2-b x 5-c.
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Solution
Given 2250 = 2a · 3b · 5c
⇒ 32 x 53 x 2 = 2a · 3b · 5
⇒ a = 1, b = 2, c = 3
3a x 2-b x 5-x
= 31 x 2-2 x 5-3
= `(3)/(2^2 xx 5^3)`
= `(3)/(500)`.
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