Question

the sum of three consecutive numbers is 87. find the average of the greatest and smallest numbers​

Answer 1

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Answer 2

Answer:

Average happens to be 29.

Step-by-step explanation:

Given:

Sum of three consecutive number is 87.

TO Find:

Average of the greatest and the smallest number.

Approach:

Let the consecutive number be = x , x + 1 , x + 2

Equation formed:

$\implies \sf x+x+1+x+2=87$

Combining like terms:

$\implies \sf (x+x+x)+(1+2)=87$

$\implies \sf 3x +3 = 87$

Subtract 3 from both sides:

$\implies \sf 3x +3 -3 = 87-3$

Divide both sides by 3:

$\implies \sf \dfrac{3x}{3}= \dfrac{84}{3}$

Smallest number = x = 28

Second number = x + 1 = 29

Largest number = x + 2 = 30.

FINDING AVERAGE :-

$\bf Average = \dfrac{Sum \ of \ numbers }{number \ of \ numbers}$

$Average = \dfrac{28+30}{2}$

$\sf \implies Average = \dfrac{58}{2}$

$\sf \implies Average = 29$