Question

( ) + ( )= 14
+ +
( ) - ( )=10
= =
15 16​

Answer 1

Answer:

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Let us give each box a variable .

Therefore ;

According to the conditions ,

A + B = 14 ----(1)

A + C = 15 ---(2)

C - D = 10

C = D + 10 ---(3)

B + D = 16 ----(4)

Substituting eq (3) in eq (2)

A + 10 + D = 15

A + D = 5

D = 5 - A ----(5)

Substituting eq (5) in eq (4)

B + 5 - A = 16

B - A = 11

B = 11 + A ----(6)

Substituting eq (6) in eq(1)

A + 11 + A = 14

2A = 3

A = 3/2

A = 1.5 ----(7)

Substituting eq (7) in eq (1)

1.5 + B = 14

B = 12.5 ----(8)

Substituting eq (8) in eq (4)

12.5 + D = 16

D = 3.5 ---(9)

Substituting eq (9) in eq (3)

C - 3.5 = 10

C = 13.5

LETS CHECK

1.5 + 12.5 = 14

+ +

13.5 - 3.5 = 10

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15 16

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