How many pairs (x,y) exist, where x and y are natural numbers which satisfy the equation 3x+5y = 1,008?

Asked by Amyra B | 7th Jun, 2013, 10:15: PM

Expert Answer:

SO, if you will factorize 1008, you will find that 1008 = 3 x 3 x 112
Now, if you will notice carefully, there doesn't exist a factor which is divisble by 5. Hence y has to be 0, which is not a natural number. 
Also, 1008 can not be expressed as 3x where x can be any natural number. 
hence, there doesn't exist a single pair which will satisfy given equation. 

Answered by  | 9th Jun, 2013, 06:00: AM

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