Math, asked by khanamrita5179, 6 months ago

If m alpha n when m=308 and n =22 then the constant variation is

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Answered by dr3865022
0

Answer:

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Answered by SonalRamteke
9

Answer

Given that, m ∝ n ∴ m = kn …(i) where, k is the constant of variation. When m = 25, n = 15 ∴ Substituting, m = 25 and n = 15 in (i), we get m = kn ∴ 25 = k × 15 ∴ k = 25/15 ∴ k = 5/3 Substituting k = 5/3 in (i), we get m = kn ∴ m = (5/3)n ... (ii) i. When n = 87, m = ? Substituting n = 87 in (ii), we get m = (5/3)n m = (5/3) x 87 m = 5 × 29 m = 145 ii. When m = 155, n = ? ∴ Substituting m = 155 in (ii), we get m = (5/3)n ∴ 155 = (5/3)n ∴ (155 x 3)/5 = n ∴ n = 31 × 3 ∴ n = 93

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