a+b= 14, c-d=10, a+c=15, b+d=16...find the value of a,b,c,d?
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Answered by
13
Answer:
The values are
a=1.5
b=12.5
c=13.5
d=3.5
Step-by-step explanation:
Given:
a+b=14.................(1)
c-d=10..................(2)
a+c=15.................(3)
b+d=16.................(4)
Adding (3) and (4), we get
a+b+c+d=31.........(5)
Using (1) in (5), we get
14+c+d=31
c+d=17................(6)
Adding (2) and (6), we get
c-d=10..................(2)
c+d=17................(6)
2c=27
c=13.5
(6) gives
d=17-13.5
d=3.5
(3) gives
a+13.5=15
a=15-13.5
a=1.5
(1) gives
1.5+b=14
b=14-1.5
b=12.5
Solution:
a=1.5
b=12.5
c=13.5
d=3.5
d=3.5
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Answer:
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