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Fynjy0 [20]
3 years ago
10

The sum of four consecutive numbers is 42 what is the smallest number

Mathematics
2 answers:
vredina [299]3 years ago
6 0
Let us take a number x
The four consecutive numbers will be
x+1, x+2, x+3

Thus our equation will be
x + x+1 + x+2 + x+3 = 42
4x + 6 = 42
4x = 36
x= 36/4
x= 9

Thus the four numbers are (substitute)
x=9
x+1=9+1=10
x+2=9+2=11
x+3=9+3=12

9,10,11,12
Gnom [1K]3 years ago
5 0
Givens
Let the smallest number = x
The second number = x + 1
The third number = x + 2
The largest number = x + 3

Equation
x + x + 1 + x + 2 + x + 3 = 42    Collect the like terms on the left.

Solution
4x + 6 = 42                                Subtract 6 from both sides.
4x = 42 - 6
4x = 36                                      Divide by 4   
x  = 36/4
x = 9


The smallest number = 9

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To find - Determine the hypothesis and the conclusion of the given

               statement  the hypothesis in Box A and the conclusion in Box B.

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             3. You are a good citizen when you obey rules and regulations.

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Firstly we will write the conditional statements , so that we can easily find the hypothesis and the conclusion of the given statement.

1.)

Given statement - Vertical angles are congruent

Conditional statement - If two angles are vertical , then they are congruent.

Hypothesis - Two angles are vertical

Conclusions - They are congruent.

2.)

Given statement - Bats are mammals that can fly

Conditional statement - If bats are mammals , then they can fly.

Hypothesis - Bats are mammals

Conclusions - They can fly.

3.)

Given statement - You are a good citizen when you obey rules and regulations.

Conditional statement - If you are a good citizen , then you obey rules and regulations.

Hypothesis - You are a good citizen

Conclusions - You obey rules and regulations.

4.)

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Conditional statement - If a number is divisible by 10, then its last digit is a 0.

Hypothesis - A number is divisible by 10

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5.)

Given statement - 3x + 6 = 21, because x = 5​

Conditional statement - If 3x + 6 = 21, then x = 5

Hypothesis - 3x + 6 = 21

Conclusions - x = 5

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