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 one year ago
Please help:)
Write 25 as sum of two positive integers one of which is divisible by 3 and other by 2.
 one year 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
 one year 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
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0ya it certainly can be:) that's another way

ajprincess
 one year 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
 one year 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
 one year 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
 one year 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
 one year 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

AravindG
 one year ago
Best ResponseYou've already chosen the best response.0yep positive integers

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

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

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

hartnn
 one year 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
 one year 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
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0Thanx a lot everyone for helping me:)
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