Question

A number increased by five is equivalent to twice the same number decreased by seven

Answer 1

Answer:

The unknown number is 12.

Step-by-step explanation:

Let the unknown number be 'x'

Given:

A number increased by 5 is equivalent to twice the same number decreased by 7.

So, 'x' increased by 5 means add 5 to 'x'. This gives $x+5$

Now, $x+5$ is equivalent to twice of 'x' decreased by 7.

Twice of 'x' means 2 times of 'x' which is $2x$

'2x' decreased by 7 means subtract 7 from '2x'. This gives,

$2x-7$

Now, $x+5$ and $2x-7$ are equivalent meaning they are equal. So,

$x+5=2x-7\\5+7=2x-x\\12=x\\x=12$

Therefore, the unknown number is 12.