Question

The larger of two consecutive intergers is 7 greater than twice the smaller.find the intergers

Answer 1

Smaller integer = -6

Larger integer = -5

Explanation:

Let the two consecutive integers =
`x` and (
`x+1`)

As per the given statement,

Larger i.e. (
`x+1`) is 7 greater than twice (
`2* x`) the smaller integer.

To find:

The value of integers = ?

Solution:

First of all, let us learn about integers.

The integers are of the form (put in increasing order):

`-\infty, ...., -3, -2,-1, 0, 1, 2, 3, ...., \infty`

and -1 > -2

So the consecutive integers are 1 greater than the smaller.

Therefore, the two integers can be
`x, x+1`

Now, writing the given condition in the form of an equation:

`x+1=2x+7\\\Rightarrow 1-7=2x-x\\\Rightarrow -6=x\\\Rightarrow \bold{x=-6}`

So, the smaller integer = -6

Larger integer = -6+1 = -5