Question

any four consecutive number to make the sum of 45.

Answer 1

What are consecutive numbers?

➾ Consecutive numbers are those numbers which follow one another constantly. Like, 2, 3, 4, 5 ; 21, 22, 23, 24, etc.



Coming to your question :-

There is a minor mistake in your question. The following is the correct question :-

$\boxed{Question}$ :- The sum of four consecutive numbers is 46. Find the numbers.

$\boxed{Solution}$ :-

Let the 4 consecutive numbers be x, x + 1, x + 2 and x + 3

Given, their sum is 46


According to the question,

x + x + 1 + x + 2 + x + 3 = 46

➾ 4x + 6 = 46

➾ 4x = 46 - 6

➾ 4x = 40

➾ x = 10


∴ 1st number ➾ x

➾ $\boxed{10}$


∴ 2nd number ➾ x + 1

➾ 10 + 1

➾ $\boxed{11}$


∴ 3rd number ➾ x + 2

➾ 10 + 2

➾ $\boxed{12}$


∴ 4th number ➾ x + 3

➾ 10 + 3

➾ $\boxed{13}$

Answer 2

$\sf\underline{Step-by-step \: explanation}$

Let the consecutive numbers be x, x+1, x+2 , x+3

As the sum is 45 so,

x+x+1+x+2+x+3= 45

4x+6= 45

4x= 45-6

4x= 39

x= $\dfrac{39}{4}$

x= 9.75

Hence, the numbers can be,

x= 9.75

x+1= 10.75

x+2= 11.75

x+3= 12.75

$\huge\sf{Verification:}$

9.75+10.75+11.75+12.75= 45

45=45

Hence, LHS= RHS

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$\small\sf\red{Thanks!!}$

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