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Question
x + 9, 10 and 4 are in GP. The value of x is ______.
Options
16
8
−16
0
MCQ
Fill in the Blanks
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Solution
x + 9, 10 and 4 are in GP. The value of x is 16.
Explanation:
Given,
x + 9, 10 and 4 are in G.P.
∴ `(x + 9)/10 = 4/10`
⇒ 4(x + 9) = 10 × 10
⇒ 4x + 36 = 100
⇒ 4x = 100 − 36
⇒ 4x = 64
⇒ x = `64/4`
x = 16
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