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

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

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Answer 1 · 2016-08-14T14:55:44

$31 + 32 = 63$ $31 +32 = 63$

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 $x$ $x$
The larger number is $x + 1$ $x+1$

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

$x + x + 1 = 63$ $x+ x+1 = 63$

$2 x = 62$ $2x = 62$

$x = 31$ $x= 31$

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

Check $31 + 32 = 63$ $31+32 = 63$

Answer 2 · 2016-08-14T14:57:14

Two consecutive numbers are $= 31 and 32$ $=31 and 32$

Explanation:

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

Answer 3 · 2017-03-16T04:05:18

$31 and 32$ $31 and 32$

Explanation:

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

So,

$\to (x) + (x + 1) = 63$ $rarr(x)+(x+1)=63$

$\to x + x + 1 = 63$ $rarrx+x+1=63$

$\to 2 x + 1 = 63$ $rarr2x+1=63$

$\to 2 x = 63 - 1$ $rarr2x=63-1$

$\to 2 x = 62$ $rarr2x=62$

$\to x = \frac{62}{2}$ $rarrx=62/2$

$\Rightarrow x = 31$ $color(green)(rArrx=31$

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

Hope this helps! :)

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

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