High School

Find another five combinations that will add up to 100.

a. 32 + =
b. 46 + =
c. 54 + =
d. 72 + =
e. 78 + =
f. 68 + =
g. 15 + =
h. 94 + =
i. 83 + =

Answer :

To solve the problem of finding combinations that add up to 100, you need to determine the missing number that adds to each given number to total 100. This is done by subtracting the given number from 100.

Here's how you can calculate each one:


  1. a. 32 + [tex]x[/tex] = 100

    To find [tex]x[/tex], subtract 32 from 100:

    [tex]x = 100 - 32 = 68[/tex]

    So, 32 + 68 = 100.


  2. b. 46 + [tex]x[/tex] = 100

    To find [tex]x[/tex], subtract 46 from 100:

    [tex]x = 100 - 46 = 54[/tex]

    So, 46 + 54 = 100.


  3. c. 54 + [tex]x[/tex] = 100

    To find [tex]x[/tex], subtract 54 from 100:

    [tex]x = 100 - 54 = 46[/tex]

    So, 54 + 46 = 100.


  4. d. 72 + [tex]x[/tex] = 100

    To find [tex]x[/tex], subtract 72 from 100:

    [tex]x = 100 - 72 = 28[/tex]

    So, 72 + 28 = 100.


  5. e. 78 + [tex]x[/tex] = 100

    To find [tex]x[/tex], subtract 78 from 100:

    [tex]x = 100 - 78 = 22[/tex]

    So, 78 + 22 = 100.



Here's how you would apply the same reasoning to find [tex]x[/tex] for each of the remaining numbers:


  1. f. 68 + [tex]x[/tex] = 100

    [tex]x = 100 - 68 = 32[/tex]

    So, 68 + 32 = 100.


  2. g. 15 + [tex]x[/tex] = 100

    [tex]x = 100 - 15 = 85[/tex]

    So, 15 + 85 = 100.


  3. h. 94 + [tex]x[/tex] = 100

    [tex]x = 100 - 94 = 6[/tex]

    So, 94 + 6 = 100.


  4. i. 83 + [tex]x[/tex] = 100

    [tex]x = 100 - 83 = 17[/tex]

    So, 83 + 17 = 100.



This step-by-step method ensures that you can find all the combinations that add up to 100.

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