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ajprincess
 4 years ago
Please help:)
Write 25 as sum of two positive integers one of which is divisible by 3 and other by 2.
ajprincess
 4 years ago
Please help:) Write 25 as sum of two positive integers one of which is divisible by 3 and other by 2.

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kewlgeek555
 4 years ago
Best ResponseYou've already chosen the best response.0Okay...think of the numbers that are divisible by 3 and the numbers that are divisible by two. List all the numbers until 25. Then, experiment and see which ones equal 25.

ajprincess
 4 years ago
Best ResponseYou've already chosen the best response.0i knw the numbers are 15 and 10. but I want a method to find them

ajprincess
 4 years ago
Best ResponseYou've already chosen the best response.0ya it certainly can be:) that's another way

ajprincess
 4 years ago
Best ResponseYou've already chosen the best response.0hmm ya. I tried in some other way but ended with one positive and negative.

ajprincess
 4 years ago
Best ResponseYou've already chosen the best response.025=3x+2y g.c.d(3,2)=1 3=2.1+1 2=1.2 1=32.1(1) (1)*25=>25=3.252.25 25=3.25+2.(25) 25=3x+2y x=25 and y=25 25=7550

AravindG
 4 years ago
Best ResponseYou've already chosen the best response.0i think we can have many values because the equation we have is of a straight line 3x+2y=25

hartnn
 4 years ago
Best ResponseYou've already chosen the best response.125=3.25+2.(25) 25=3x+2y correct till here x=25+2n and y=25 3n now, since x,y are positive, what can you say about n ?

klimenkov
 4 years ago
Best ResponseYou've already chosen the best response.0\(25=3x+2y\) (We will put a domain restriction later) \(y=\frac{253x}2\) All you need to find all the values of \(253x\) that it will be divisible by 2. Also x,y must be positive. So lets vary x: Try x=0, then y is not an integer. x=1 y=11  good x=2 y is not an integer As we notice if x is odd we will get an integer y, and not integer in the other case. So, we have all odd positive x till the time x=9, because if x=9 y =1 and is nonpositive. The answer: x=1 y=11 x=3 y=8 x=5 y=5 x=7 y=2

klimenkov
 4 years ago
Best ResponseYou've already chosen the best response.0All you have to to is to put values from the answer into the expression for \(25=3x+2y\).

hartnn
 4 years ago
Best ResponseYou've already chosen the best response.125+2n>0 n>25/2 >n>12 as n is integer(maybe positive or negative) similarly do for y=25 3n yes, http://openstudy.com/users/ParthKohli#/updates/50e43ad3e4b0e36e35145cc6

klimenkov
 4 years ago
Best ResponseYou've already chosen the best response.0@hartnn I think it is but it was not so difficult to notice.

hartnn
 4 years ago
Best ResponseYou've already chosen the best response.1253n>0 3n >25 n<25/3 n<8 so 'n' takes values from 8 to 12 put values of n from 8,9,10,11,12 and get different pairs of x,y

shubhamsrg
 4 years ago
Best ResponseYou've already chosen the best response.0Juts write out all odd multiples of 3 less than 25 subtract that multiple from 25, the other number will then obviously be a multiple of 2

hartnn
 4 years ago
Best ResponseYou've already chosen the best response.1i think 8 won't come, put n=9,10,11,12

hartnn
 4 years ago
Best ResponseYou've already chosen the best response.1@ajprincess following any of this ? :P ask if u have doubt in any step...

ajprincess
 4 years ago
Best ResponseYou've already chosen the best response.0@hartnn I dnt get how u write x=25+2n

hartnn
 4 years ago
Best ResponseYou've already chosen the best response.1thats because, thats the general form x='+' 25 '+' (other coefficient)(integer) if negative, x=''25 ''(other coefficient)(integer)

hartnn
 4 years ago
Best ResponseYou've already chosen the best response.125=3.25+2.(25) 25=3x+2y here,for 25, other coefficient is 2 for 25, other coeff is 3

experimentX
 4 years ago
Best ResponseYou've already chosen the best response.03m + 2n = 25 2n = 25  3m, odd  odd = even, so just count odd number such that 25  3m > 0

ajprincess
 4 years ago
Best ResponseYou've already chosen the best response.0Thanx a lot everyone for helping me:)
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