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mart [117]
3 years ago
14

If the difference of two numbers is even then so is their sum.

Mathematics
1 answer:
Nutka1998 [239]3 years ago
4 0

Answer and explanation:

Statement - If the difference of two numbers is even then so is their sum.

Let the two even numbers be '2m' and '2n' with m and n are integers.

The difference of two number is

2m-2n=2(m-n)

Now, The sum of the numbers is

2m+2n=2(m+n)

Let m+n=k where k is an integer

Then, 2m+2n=2k which is also an even number as 2 is multiplied with it.

So, If the difference of two numbers is even then so is their sum.

For example -

Let two even number 2 and 4.

The difference is 4-2=2, 2 is even.

The sum is 4+2=6, 6 is even.

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Janae's savings account has $50 on September 19. If she plans to save $5 every day, how much money will Janae have in her saving
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Janae will have $ 95 in her account after 10 days.

<h3>What is an Arithmetic Progression?</h3>

A sequence of numbers that has a fixed common difference between any two consecutive numbers is called an arithmetic progression (A.P.)

Given,

Amount in Janae's account = $ 50

Amount she wishes to save for 10 days = $ 5

This scenario models an arithmetic progression(A.P)

In an A.P,

a _n = a + (n-1)d

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In this question, a = 50, n = 10, d = 5 and we have to find out a _n

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brainly.com/question/24191546

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