sum of three number A,B,cC is 46. B is approximately 42.86% of A and A is approximately 46.6% of C.what is the difference Between B
and C
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Let three numbers be a, b and c
The sum of three numbers is 55
a + b + c = 55…Eq..1
c - a = 51
c = 51 + a…Eq.2
a + b = 11
b = 11 - a…Eq..3
Substituting the value of c and b in Eq..1
a + (11 - a) + 51 + a = 55
a + 11 - a + 51 + a = 55 2a - a = 55 -11 - 51
a = —7
Substituting value of a in Eq..3
b = 11 - a
b = 11 - ( -7 )
b = 11 + 7
b = 18
Substituting value of a in Eq..2
c = 51 + a
c = 51 + (-7);
c = 44
Thus a = -7; b = 18 and c = 44
Answer the three numbers are -7; 18 and 44
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