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Given:
The empty boxes.
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 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) Now we will 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)we will put the value of x again 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 in the boxes are 7/2, 9/2, 19/2 and 7/2.
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