___ + ___ = 8
+ +
___ - ___ = 6
= 13 = 8
Answers
To Find:
The unknown numbers of the question.
Solution:
1)Let the four numbers in the box must be x, y ,z and w
2)So according to the condition in question we get the four equations as follows:
x+y = 8----------------(i)
x+z = 13---------------(ii)
z-w = 6--------------(iii)
y+w = 8---------------(iv)
3)If we add eq. (iii) and (iv) we get, y+z = 14
4)Add eq. (i) and (ii) we get,
- 2x+y+z = 21
- 2x + 14 =21
- 2x = 7/2
- x = 7/2
5)Put the value of x in eq.(i), we get,
- y = 8-7/2
- y = 9/2
6)Again put the value of x in eq.(ii) we get,
- z = 13-7/2
- z = 19/2
6)now, putting the value of z in eq. (iii) we get,
- w = 19/2-6
- w = 7/2
The numbers are 7/2, 9/2, 19/2 and 7/2.
Given : ___ + ____ = 8
+ +
___ - ___ = 6
= =
13 8
To Find : Fill the blanks
Solution:
__ A _ + _8-A_ = 8
+ +
_13-A__ - B___ = 6
= =
13 8
8 - A + B = 8
=> B = A
13- A - B = 6
=> A + B = 7
A + A = 7
=> 2A = 7
=> A = 7/2
A = B = 7/2 = 3.5
8 - A = 8 - 3.5 = 4.5
13 - A = 13 - 3.5 = 9.5
__ 3.5 _ + _4.5_ = 8
+ +
_9.5__ - _3.5_ = 6
= =
13 8
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