Math, asked by jaynica, 10 months ago

the consecutive numbers have a sum of 31. what is the two consecutive numbers.

Answers

Answered by riya666941
2

Answer:

let two consecutive numbers : x , x+1

given

sum = 31

so ,

x +x+1=31

2x+1=31

2x=31- 1

2x=30

x=30/2

x= 15

then x+1

= 15 +1

=16

hope it will help you!!!

Answered by SainaPaswan
65

Firstly lets understand what is Consecutive numbers-

✯Numbers which follow each other in an order.

✯Consecutive numbers have mean and median equal

✯They a difference of 1.

\small\underline\mathfrak\red{Examples-:}

⟹23 and 24

  • They have difference 1.(24-23=1)
  • 24 comes after 23.
  • Their mean and meadian are equal.

____________________________________

\small{\underline{\tt{Your\:Question}}}

The consecutive numbers have a sum of 31. What are the two consecutive numbers?

Let one consecutive number be x

Other consecutive number be x+1

\underline\green{\:\textsf{According to the question}}

x  + x + 1 = 31 \\ 2x + 1 = 31 \\ 2x = 31 - 1 \\ 2x = 30 \\ x =  \frac{30}{2}  \\ x = 15

If x=15, Then x+1 = 15+1= 16

∴The two consecutive numbers are 15 and 16.

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