Question

Complete the squares so that the differences shown on the outside are correct

Answer 1

8 5                   and 18 8

7 2                           9 2

8 - 5 = 3, 8 - 7 = 1, 5 - 2 = 3 and 18 - 8 = 10, 18 - 9 = 9, 9 - 2 = 7, 8 - 2 = 6

Answer 2

We have that the Number to complete the missing squares are

$x=5$

$y=7$

$x'=18$

$y'=2$

From the question we are told that:

Within the Box 1 =8 and 2

Outside box 2= 1,3,5,3 Respectively

Within the Box 2 =8 and 9

Outside box 2= 19,6,7,10 Respectively

Let

x and x' be the top missing squares for Respective Boxes

y and y' be the bottom missing squares for Respective Boxes

Differences

Differences in   mathematically is simply using the minus operator between two or more numbers

Therefore

For Box 1

The first space is we are tasked to find a number x where

$8-x=3$

The Second space is we are tasked to find a number y where

$y-2=5$

For x

$8-x=3\\\\x=5$

For y

$y-2=5\\\\y=7$

For Box 2

The Second space is we are tasked to find a number y where

$x'-8=10$

The Second space is we are tasked to find a number y where

$9-y'=7$

For x'

$x'-8=10$

$x'=18$

For y

$9-y'=7$

$y'=2$

 

In conclusion

The Number to complete the missing squares are

$x=5$

$y=7$

$x'=18$

$y'=2$

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