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Let the number be N,From question, (6 + N) / (14 + N) = (18 + N) / (38 + N) ⇒ (6 + N) x (38 + N ) = (18 + N ) x (14 + N ) ⇒ N2 + 44N + 228 = N2 + 32N + 252 ⇒ 12N = 24 ∴ N = 2
Description for Correct answer: 6, 14, 18, 38If a, b, c, d are in proportion=> a : b :: c : dthen ad = bcLet x is added in the sequence numbers as to make it in proportion(6+x) : (14+x) :: (18+x) : (38+x)(6+x) (38+x) = (18+x) (14+x)Now to save valuable time put value of x from options to make it proportion(6+x) (38+x) = (14+x) (18+x)=> \( \Large x^{2} + 44x + 228 = x^{2} + 32x + 252 \)12x => 252 - 22812x => 24 x => 2 Ans. Part of solved Ratio and Proportions questions and answers : >> Aptitude >> Ratio and Proportions Comments Similar Questions |
What number should be added to each one of 6,14,18 and 38 to make them equally proportionate
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