Question

Find four integer numbers a,b,c,d such that
a + b + c + d = 1
a + c + d = 2
a + b + d = 3
a + b + c = 4
Answer: (a;b;c;d)=(............) 




Tìm bốn số nguyên a, b, c, d mà
a + b + c + d = 1
a + c + d = 2
a + b + d = 3
a + b + c = 4
Trả lời: (a; b; c; d) = (...................)

Answer 1

Theo đầu bài ta có:
( a + b + c + d ) - ( a + c + d ) = b    =>    b = 1 - 2 = -1
( a + b + c + d ) - ( a + b + d ) = c    =>    c = 1 - 3 = -2
( a + b + c + d ) - ( a + b + c ) = d    =>    d = 1 - 4 = -3
1 - ( b + c + d ) = a                         =>    a = 1 - ( -1 + -2 + -3 ) = 7

Answer 2

a + b + c + d = 1
a + c + d = 2

=>(a + b + c + d)-(a + c + d)=b=1-2=-1

a + b + c + d = 1

a + b + d = 3

=> (a + b + c + d)-(a + b + d)=c=1-3=-2

a + b + c + d = 1

a + b + c = 4

=>(a + b + c + d)-(a + b + c)=d=1-4=-3

a + b + c + d = 1

b+c+d=-1+(-2)+(-3)=-6

=>(a + b + c + d )-(b+c+d)=1-(-6)=7=a