Q. 28 m - 3 n = ______
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Given, n varies directly as m
∴ n ∝ m
∴ n = km …(i)
where, k is the constant of variation
i. When m = 3, n = 12
∴ Substituting m = 3 and n = 12 in
(i), we get n = km
∴ 12 = k × 3 ∴ k = 12/3
∴ k = 4 Substituting, k = 4 in
(i), we get n = km
∴ n = 4m …
(ii) This is the equation of variation. ii. When m = 6.5, n = ?
∴ Substituting, m = 6.5 in
(ii), we get n = 4m
∴ n = 4 × 6.5
∴ n = 26
iii. When n = 28, m = ?
∴ Substituting, n = 28 in (ii), we get n = 4m
∴ 28 = 4m
∴ m = 28/4 m = 7
iv. When m = 1.25, n = ?
∴ Substituting m = 1.25 in
(ii), we get n = 4m
∴ n = 4 × 1.25
∴ n = 5
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