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

Aug 14, 2016

$31 + 32 = 63$

#### 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:

$x + x + 1 = 63$

$2 x = 62$

$x = 31$

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

Check $31 + 32 = 63$

Aug 14, 2016

Two consecutive numbers are$= 31 \mathmr{and} 32$

#### Explanation:

Let the two consecutive numbers be $a \mathmr{and} a + 1$
Therefore given that
$a + a + 1 = 63$
or
$2 a + 1 = 63$
or
$2 a + 63 - 1$
or
$2 a = 62$
or
$a = \frac{62}{2}$
or
$a = 31$
Hence two consecutive numbers are$= 31 \mathmr{and} 32$

Mar 16, 2017

$31 \mathmr{and} 32$

#### Explanation:

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

So,

$\rightarrow \left(x\right) + \left(x + 1\right) = 63$

$\rightarrow x + x + 1 = 63$

$\rightarrow 2 x + 1 = 63$

$\rightarrow 2 x = 63 - 1$

$\rightarrow 2 x = 62$

$\rightarrow x = \frac{62}{2}$

color(green)(rArrx=31

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

Hope this helps! :)