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Step-by-step explanation:
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To find :
The numbers so that after they are filled in the boxes , they fulfill all the equations .
Solution :
Let four variables be e , f , g and h .
In clockwise direction ,
e + f = 8 ......(i)
f + g = 8 ......(ii)
h - g = 6 .......(iii)
e + h = 13 .......(iv)
by solving the equations (i) and (ii) , we get ,
→ e = g
using e=g in (iii) and (iv) , and solving it
h = 9.5
and , g = 3.5
as e = g , then , e = 3.5
putting e = 3.5 in (i) ,
f = 4.5
e = 3.5 , f = 4.5 , g = 3.5 and h = 9.5 clockwise from top left corner according to viewer .
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