If 6 + 4 = 210 Then FInd the Missing Numbers in: ?? + ?? = 123

Look at the series of equations and find the missing number;


If

6 + 4 = 210

9 + 2 = 711

8 + 5 = 313

10 + 6 = 416

then find the missing number in the following equation;

?? + ?? = 123;

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In the equations you will see that the logic is;

The result on the right hand side of the equation is divided into 2 parts.

the first part of the result is the subtraction of the 2 numbers on the left hand side and second part is the addition.

For example;


a + b = (a – b),(a + b)

so if we test in the first equation it is;

6 + 4 = (6 – 4),(6 + 4) = 210

So let the missing numbers in the last equation be c & d;

c + d = 123

Therefore we can write;

c – d = 1

c + d = 23

Solving these 2 equations we get;

2c = 24;

Therefore C = 12

and d = 11

Answer: 12 + 13 = 123

 

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