find the value and answer
Answers
Answer:
3.5+4.5=8
+ +
9.5-3.5=6
ll ll
13 8 DONE
Question:
Solve the given puzzle.
___ + ___ = 8
+ +
___ –___ = 6
|| ||
13 8
Answer:
3.5 + 4.5 = 8
+ +
9.5 – 3.5 = 6
|| ||
13 8
Solution:
Let a, b , c and d be required numbers to be inserted in the way given below.
a + b = 8
+ +
c - d = 6
|| ||
13 8
Clearly,
a + b = 8 ----------(1)
a + c = 13 ---------(2)
b + d = 8 ----------(3)
c - d = 6 -----------(4)
Now,
Subtracting eq-(1) from eq-(2) , we get;
=> (a+c) - (a+b) = 13 - 8
=> a + c - a - b = 5
=> c - b = 5 ---------(5)
Now,
Adding eq-(3) and eq-(4) , we get ;
=> b + d + c - d = 8+6
=> c + b = 14 ---------(6)
Now,
Adding eq-(5) and eq-(6) , we get ;
=> c - b + c + b = 5 + 14
=> 2c = 19
=> c = 19/2
=> c = 9.5
Now,
Putting the value c = 9.5 in eq-(2) , we have ;
=> a + c = 13
=> a = 13 - c
=> a = 13 - 9.5
=> a = 3.5
Now,
Putting the value a = 3.5 in eq-(1) , we have ;
=> a + b = 8
=> b = 8 - a
=> b = 8 - 3.5
=> b = 4.5
Now,
Putting the value b = 4.5 in eq-(3) , we have ;
=> b + d = 8
=> d = 8 - b
=> d = 8 - 4.5
=> d = 3.5
Thus,
a = 3.5
b = 4.5
c = 9.5
d = 3.5
Hence,
3.5 + 4.5 = 8
+ +
9.5 – 3.5 = 6
|| ||
13 8