Question

John has a collection of 10 paise ,15 paise , 20 paise coins in the ratio of 2:5:9 and his total collection

Answer 1

John has total number of collection of 10 paise, 15 paise and 20 paise is taken as 16n, where n is equal to 1,2,3.......∞

Step-by-step explanation:

Let that John has a collection  of,

10 Paise = x Rs

15 Paise = y Rs

20 Paise = z Rs

Than total collection is = x + y +z

Given that ratio of x, y, z is 2:5:9

therefor, x : y : z = 2 : 5 : 9 = k

Hence, x = 2k

y = 5k

z = 9k

∵ x + y + z = 2k + 5k + 9k

⇒ x + y + z = 16k

If we take k = 1 than John has total number of collection is 16.

If we take k = 2 than John has total number of collection is 32.

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....

If we take k = n than John has total number of collection is 16n.