Question

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

Answer 1

The unknown number is 12.

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.