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

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kewlgeek555Best ResponseYou've already chosen the best response.0
Okay...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.
 one year ago

ajprincessBest ResponseYou've already chosen the best response.0
i knw the numbers are 15 and 10. but I want a method to find them
 one year ago

ajprincessBest ResponseYou've already chosen the best response.0
ya it certainly can be:) that's another way
 one year ago

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

ajprincessBest ResponseYou've already chosen the best response.0
25=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
 one year ago

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

hartnnBest ResponseYou've already chosen the best response.1
25=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 ?
 one year ago

klimenkovBest 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
 one year ago

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

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

hartnnBest ResponseYou've already chosen the best response.1
25+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
 one year ago

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

hartnnBest ResponseYou've already chosen the best response.1
253n>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
 one year ago

shubhamsrgBest ResponseYou've already chosen the best response.0
Juts 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
 one year ago

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

hartnnBest ResponseYou've already chosen the best response.1
@ajprincess following any of this ? :P ask if u have doubt in any step...
 one year ago

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

hartnnBest ResponseYou've already chosen the best response.1
thats because, thats the general form x='+' 25 '+' (other coefficient)(integer) if negative, x=''25 ''(other coefficient)(integer)
 one year ago

hartnnBest ResponseYou've already chosen the best response.1
25=3.25+2.(25) 25=3x+2y here,for 25, other coefficient is 2 for 25, other coeff is 3
 one year ago

experimentXBest ResponseYou've already chosen the best response.0
3m + 2n = 25 2n = 25  3m, odd  odd = even, so just count odd number such that 25  3m > 0
 one year ago

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