Question

The sum of two consecutive number is 63. What are the numbers?

Answer 1

`31 +32 = 63`

Explanation:

Consecutive numbers are those which follow each other, where a number is 1 more than the preceding number.

Define the numbers first.

Let the smaller number be `x`
The larger number is `x+1`

Their sum is 63, so we can write an equation:

`x+ x+1 = 63`

`2x = 62`

`x= 31`

If the smaller number is 31, the next number is 32.

Check `31+32 = 63`

Answer 2

Two consecutive numbers are`=31 and 32`

Explanation:

Let the two consecutive numbers be `a and a+1`
Therefore given that
`a+a+1=63`
or
`2a+1=63`
or
`2a+63-1`
or
`2a=62`
or
`a=62/2`
or
`a=31`
Hence two consecutive numbers are`=31 and 32`

Answer 3

`31 and 32`

Explanation:

Let the first number be `x`. Then the next number is `x+1`

So,

`rarr(x)+(x+1)=63`

`rarrx+x+1=63`

`rarr2x+1=63`

`rarr2x=63-1`

`rarr2x=62`

`rarrx=62/2`

`color(green)(rArrx=31`

One number is `31`, so the other number is `color(green)(x+1=32`

Hope this helps! :)