a b c and d go for a picnic. when a stands on a weighing machine b also climbs on and the weight shown was 132 kg. when b stands c also climbs on and the machine shows 130 kg. similarly the weight of c and d is found as 102 kg and that of b and d is 116 kg. what is d's weight?
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1
a+b=132. 1
b+c=130. 2
c+d=102. 3
b+d=116. 4
subtract eq( 4)-(3)
b-c=14. 5
add 5th and 2nd
2b=144
【b=72 kg】
put weight of b in eq 4th
then 【d=44 kg】
put weight of d in eq. 3rd
then 【c=58 kg】
put weight of b in eq.1
then 【a=60 kg】
b+c=130. 2
c+d=102. 3
b+d=116. 4
subtract eq( 4)-(3)
b-c=14. 5
add 5th and 2nd
2b=144
【b=72 kg】
put weight of b in eq 4th
then 【d=44 kg】
put weight of d in eq. 3rd
then 【c=58 kg】
put weight of b in eq.1
then 【a=60 kg】
Answered by
0
Answer:
d=44kg.
Explanation:
a+b=132------>1
b+c=130------>2
c+d=102------>3
b+d=116------->4
add (2),(3)&(4) , we get
2b+2c+2d=348.
b+c+d=174.------>5
subtract (2) from (5)
b+c+d=174.
-b-c =-130.
d=44
_________
so, d=44.
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