Question

If the average of 5 consecutive numbers in 29 find the smallest number in the series

Answer 1

Answer: 63 Step-by-step explanation: Let the consecutive numbers be x, ( x + 1 ), ( x + 2 ), ( x + 3 ) and ( x + 4 ).  We know that average of the numbers is the sum of quantities by number of quantities.  So,  Average of the numbers = ( x + x + 1 + x + 2 + x + 3 + x +4 ) / 5 But, according to the question, Average of the numbers = 29  Therefore,  ( x + x + 1 + x + 2 + x + 3 + x +4 ) / 5 = 29 ( 5x + 10 ) / 5 = 29 5x + 10 = 29 * 5 5x + 10 = 145 5x = 145 - 10 5x = 135 x = 135 / 5 x = 23  Since, the first among the consecutive numbers will be the smallest of all. Smallest Number in the series = First of the series = x Smallest Number = 23

Answer 2

$\huge \bf \pink{ \mathbb{H}ey \: there !! }$


▶ Given :-

→ Average of 5 consecutive numbers = 29 .


▶ To find :-

→ Smallest number in the series .



▶ Solution :-

Let the number [ having difference 1 ] be x, ( x + 1 ), ( x + 2 ), ( x + 3 ), ( x + 4 ).


We know that :-

$\bf \green {Average = \frac{Sum \: of \: all \: observations }{ Number \: of \: observations .}} \\ \\ = > 29 = \frac{(x )+ (x + 1) + (x + 2) +( x + 3) +( x + 4)}{5} . \\ \\ = > 29 \times 5 = 5x + 10. \\ \\ = > 145 = 5x + 10. \\ \\ = > 5x = 145 - 10. \\ \\ = > 5x = 135. \\ \\ = > x = \frac{135}{5} . \\ \\ \huge \blue{ \boxed{ \boxed{ \therefore x = 27.}}}$


Here, the smallest number is x .

So, the smallest number in series is 27 .


✔✔ Hence, it is solved ✅✅.




$\huge \orange{ \boxed{ \boxed{ \mathcal{THANKS}}}}$



$\huge \bf \red{ \#BeBrainly.}$