Question

45.
The sum of five consecutive numbers
is 20. What is the sum of first three
consecutive numbers ?
(1) 11
(2) 12
(3) 5
(4) 9​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The sum of five consecutive numbers is 20. What is the sum of first three consecutive numbers

(1) 11

(2) 12

(3) 5

(4) 9

EVALUATION

Let the five consecutive numbers are

x , x + 1 , x + 2 , x + 3 , x + 4

So by the given condition

x + x + 1 + x + 2 + x + 3 + x + 4 = 20

$\implies \sf{5x +10 = 20 }$

$\implies \sf{5x = 10 }$

$\implies \sf{x = 2}$

So the numbers are 2 , 3 , 4 , 5 , 6

So the first three numbers are 2 , 3 , 4

Hence the sum of first three consecutive numbers

= 2 + 3 + 4

= 9

FINAL ANSWER

Hence the correct option is

(4) 9

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