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harina [27]
3 years ago
8

Find four consecutive integers such that if the sum of the first and third is increased by 10, the result is 6 greater than 4 ti

mes the fourth
Mathematics
1 answer:
kap26 [50]3 years ago
6 0
Four consecutive integers are four numbers in a row, with a difference of one between each of them.

x= first integer
x+1= second integer
x+2= third integer
x+3= fourth integer

sum= add
increased by 10= add 10
the result is= equal sign
6 greater than= add 6
4 times= multiply


EQUATION
(x + x + 2) + 10= (4(x + 3)) + 6
combine like terms on the left side

2x + 12= (4(x + 3)) + 6
multiply 4 by terms in parentheses

2x + 12= 4x + 12 + 6
combine like terms on right side

2x + 12= 4x + 18
subtract 4x from both sides

-2x + 12= 18
subtract 12 from both sides

-2x= 6
divide both sides by -2

x= -3 first integer


x+1= -2 second integer
x+2= -1 third integer
x+3= 0 fourth integer


ANSWER: The four consecutive integers are -3, -2, -1 and 0.

Hope this helps! :)
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Read 2 more answers
Solution to m^2- 36=0
alex41 [277]

Answer:

m=(-6,6)

Step-by-step explanation:

m^2 -36 = 0

Reorder the terms:

-36 + m^2 = 0

Solving for variable 'm'.

 Add '36' to each side of the equation.

-36 + 36 + m^2 = 0 + 36

Combine like terms: -36 + 36 = 0

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m^2 = 0 + 36

Combine like terms: 0 + 36 = 36

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Simplifying

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