Q3 of 19 Page 59

m α n, n = 15 when m = 25. Hence

(1) Find m when n = 87


(2) Find n when m = 155


Since m α n


⇒ m = kn, where k is proportional constant.


We have, n=15 when m=25.


⇒ 25 = k × 15


⇒ k =


⇒ k=


So, m= n ....(i)


(1) we have n=87


By using equation (i), we get


m = × 87 = 5 × 29 = 145


(2) We have, m=155


By using equation (i), we get


155= n


⇒ n = × 155 = 3 × 31 = 93


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