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Alex17521 [72]
3 years ago
13

Two consecutive integers have a sum of 53. Find the integers.

Mathematics
1 answer:
Flura [38]3 years ago
7 0

Answer:

give brainliest please I need it to level up

Step-by-step explanation:

Let one of the numbers be x,

Then the two numbers are x and x +1

And,

x+x+1 = 53

2x = 53 - 1 (Transposing 1 from LHS to RHS)

2x = 52

x = 52/2

x = 26

x + 1 = 27

So, The two numbers are 26 and 27.

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Consecutive integers are integers that follow one another. For example, 2,3,4,5,etc.... are consecutive integers

So algebraically, consecutive integers follow the form x, x+1, x+2, etc...

Since the sum of two consecutive integers is 239, this means:

x%2Bx%2B1=239

2x%2B1=239 Combine like terms on the left side

2x=239-1Subtract 1 from both sides

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x=%28238%29%2F%282%29 Divide both sides by 2 to isolate x

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So our first number is x=119

So to find the next number, simply add 1 to it to get 119%2B1=120

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