Math, asked by omrathod011, 2 months ago

A travel stickers set has a total of 50 stickers but I lost some of them. my friends requested some of them from me so, I started distributing them, if I distribute them to 4 of us equally, 3 stickers are left. If I distribute to 3 of us equally, 2 are left and if I distribute to 5 of us equally, 2 stickers are left. How many stickers did I have for distributing among my friends?

Answers

Answered by amitnrw
0

Given : A travel stickers set has a total of 50 stickers but I lost some of them. my friends requested some of them from me so, I started distributing them, if I distribute them to 4 of us equally, 3 stickers are left. If I distribute to 3 of us equally, 2 are left and if I distribute to 5 of us equally, 2 stickers are left.

To Find : How many stickers did I have for distributing among my friends?​

Solution

Stickers = N

N = 4A + 3

N = 3B + 2  => N - 2 = 3B

N = 5C  + 2 => N - 2 = 5C

=> N - 2 = 15D

N - 2 = 15D

Hence  N can be 17 , 32 , 47  as its less than 50

But

N = 4A + 3

Hence N must be 47

47 = 11 * 4 + 3

47 = 15 * 3  + 2

47 = 9 * 5  + 2

47 Stickers

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