Question

the sum of three consecutive number is 84 what are the numbers. what are the numbers ????

algebraic equations​

Answer 1

Answer:

numbers are 27,28 and 29

Step-by-step explanation:

let the numbers = x, x+1 and x+2 ( because they are consecutive )

NOW ACCORDING TO THE QUESTION:-

x+ x+1 +x+2 = 84

3x+3= 84

3x = 84-3

3x=81

x= 81/3

x = 27.

hence, the numbers are

1) x = 27.

2) x+1 = 27+1=28.

3) x+2=27+2=29.

To check the answer:

27+28+29 = 84. ( and they are consecutive too )

Answer 2

Answer:

let the common factor be x

first number

$x$

second number

$x + 1$

third number

$x + 2$

ATQ,

Equation should be

$(x) + (x + 1) + (x + 2) = 84$

$x(1 + (1 \times )1 + (1 \times 2)) = 84$

$x(1 + 1 + 2) = 84$

$4x = 84$

$x = \frac{84}{4}$

$x = 21$

After substitution

$x = 21$

$x + 1 = 21 + 1 = 22$

$x + 2 = 21 + 2 = 23$

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