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Pachacha [2.7K]
3 years ago
8

Property used in the equation 9+3+1

Mathematics
2 answers:
Tju [1.3M]3 years ago
4 0

Answer:

That is the<u> associative property</u>.  In addition, it doesn't matter what order you add things in, so you can "associate" any grouping of additions and get the same result:

(a+b)+c = a+(b+c)

Note that this is true for multiplication as well:

(a*b)*c = a*(b*c)

Ne4ueva [31]3 years ago
3 0
Associative property
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Convert 720º to radians.
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What is the minimum value for h(x)=x2−16x+60?
iogann1982 [59]
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3 0
3 years ago
In 1998, Cathy's age is equal to the sum of the four digits in the year of her birthday, then how old was Cathy in 1998?
ycow [4]

Answer:

<em>Cathy was born in 1980 and she was 18 years old in 1998</em>

Step-by-step explanation:

<u>Equations</u>

This is a special type of equations where all the unknowns must be integers and limited to a range [0,9] because they are the digits of a number.

Let's say Cathy was born in the year x formed by the ordered digits abcd. A number expressed by its digits can be calculated as

x=1000a+100b+10c+d

In 1998, Cathy's age was

1998-(1000a+100b+10c+d)

And it must be equal to the sum of the four digits

1998-(1000a+100b+10c+d)=a+b+c+d

Rearranging

1998=1001a+101b+11c+2d

We are sure a=1, b=9 because Cathy's age is limited to having been born in the same century and millennium. Thus

1998=1001+909+11c+2d

Operating

88=11c+2d

If now we try some values for c we notice there is only one possible valid combination, since c and d must be integers in the range [0,9]

c=8, d=0

Thus, Cathy was born in 1980 and she was 18 years old in 1998. Note that 1+9+8+0=18

5 0
3 years ago
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