Question

please solve this math puzzle
【 ?】+【?】=14
+. +
【?】 - 【?】 = 10
=. =
15. 16​

Answer 1

Answer :-

The given 4 equations are :-

• A + B = 14

• A + C = 15

• B + D = 16

• C – D = 10

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Add all the equations :-

A + B + A + C + B + D + C - D = (14 + 15 + 16 + 10)

⇒2A + 2B + 2C = (14 + 15 + 16 + 10 )

⇒A + B + C = (14 + 15 + 16 + 10 )/2 = 55/2 = 27.5

$\underline{\rule{244}{2}}$

C = 27.5 – (A + B)

⇒C = 27.5 – 14

⇒ C = 13.5

$\underline{\rule{244}{2}}$

B = 27.5 – (A + C)

⇒B = 27.5 – 15

⇒ B = 12.5

$\underline{\rule{244}{2}}$

A = 14 – B

⇒A = 14 – 12.5  

⇒A = 1.5

$\underline{\rule{244}{2}}$

D = C – 10

⇒D = 13.5 – 10  

⇒D = 3.5

$\underline{\rule{244}{2}}$

So, the puzzle can be solved as :-

【1.5】+【12.5】= 14

   +           +

【13.5】-【3.5】= 10

  =            =

 15           16​