A and B are two consecutive numbers (B<A). Half of B exceeds one-fourth of A by 1. Find the values of A and B.
maths problems(quick!)
2009-08-30 2:12 am
回答 (2)
2009-08-30 2:33 am
✔ 最佳答案
A = B + 1 ... (1)B/2 = A/4 + 1... (2)
Sub (1) into (2), B/2 = (B + 1)/4 + 1
Mutiply both sides by 4,
2B = B + 1 + 4
2B - B = 5
B = 5
Sub into (1), A = 5 + 1 = 6
2009-08-30 08:09:42 補充：
"Half of B exceeds one-fourth of A by 1" means half of B is BIGGER than one-fourth of A, and the DIFFERENCE is 1.
2009-08-30 2:24 am
let x be the value of B , y be the value of A .
y = x+1 ---(1)
x/2+1=y/4 ---(2)
sub. (1) into (2) ,
0.5x+1=(x+1)/4
2x+4=x+1
x=-3
y=x+1
=-3+1
=-2
y = x+1 ---(1)
x/2+1=y/4 ---(2)
sub. (1) into (2) ,
0.5x+1=(x+1)/4
2x+4=x+1
x=-3
y=x+1
=-3+1
=-2
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