once to donkeys a and b were talking to each other .a said I can carry more snacks than you infact if you give me one of your snacks then I would have twice as many as you have.
linear equations in 2 variables
Answers
Answered by
0
Step-by-step explanation:
no. of snacks with donkey b=x
no. of snacks with donkey a=y
y=2x
Answered by
14
Let mule and donkey carry x sacks and y sacks respectively.
Then the two statements mean:
If you give me one of your sacks, then I would have twice as many as you (i.e. if the mule
had one more and the donkey one less, the mule would have twice as many as donkey).
x + 1 = 2 (y - 1) = x - 2y + 3 = 0............... (1)
If I give you a sack, our loads would be equal (i.e. if the mule had one less and the
donkey one more, they would have the same number of sacks).
x - 1 = y + 1 = x - y - 2 = 0.........................(2)
Subtracting (i) from (ii), we get
y - 5 = 0 => y = 5.
Substituting y = 5 in (ii), we get
x - 5 - 2 = 0 = x = 7.
Hence, the mule was carrying 7 sacks and the donkey 5 sacks.
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