Question

if m a n and when m=154 n=7 find the value of M when n=14

Answer 1

m=154 n=7
then m=154×2 n=7×2


m=308 n=14

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Answer 2

Answer:

Given:

m ∝ n

m = kn … (i) where k is constant of variation.

When m = 154, n = 7

Substitute the value of m = 154 and n = 7 in (i), we get

m = kn

154 = k × 7

k = 1547

k = 22

Now, substitute the value of k = 22 back in (i), we get

m = kn

∴ m = 22n … (ii)

This is the equation of variation.

When, n = 14, m =?

Substitute n = 14 in (ii), we get

m = 22n

m = 22 × 14

m = 308

∴ The value of m is 308.