If 2(2n + 5) = 3(3n $-$ 10), then n =

(a) 5 (b) 3 (c) 7 (d) 8

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Solution

$As, 2 (2 n + 5) = 3 (3 n - 10) \Rightarrow 4 n + 10 = 9 n - 30 \Rightarrow 4 n - 9 n = - 10 - 30 (By transposing 10 to RHS and 9 n to LHS) \Rightarrow - 5 n = - 40 \Rightarrow n = \frac{- 40}{- 5} (By transposing - 5 to RHS) ∴ n = 8$

Hence, the correct alternative is option (d).

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