1.

If m ∝ n and when m = 154, n = 7. Find the value of m, when n = 14.

Answer»

Given that, m ∝ n 

∴ m = kn …(i) 

where k is constant of variation. 

When m = 154, n = 7

∴ Substituting m = 154 and n = 7 in (i), we get 

m = kn 

∴ 154 = k × 7

∴ k = 154/7

∴ k = 22 

Substituting k = 22 in (i), we get 

m = kn 

∴ m = 22n …(ii) 

This is the equation of variation. 

When n = 14, m = ? 

∴ Substituting n = 14 in (ii), we get 

m = 22n 

∴ m = 22 × 14 

∴ m = 308



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