Question

I think of a number q, multiply it by 2 and add 5. I get the same answer as when I minus 2 from q. Find the value of q

Answer 1

Given:

A number is q, multiply it by 2 and add 5.

You get the same answer as when you minus 2 from q.

To find:

The value of q.

Solution:

The algebraic representation of the statement "a number is q, multiply it by 2 and add 5" is

Multiply q by 2 = 2q

Multiply q by 2 and then add 5 : 2q + 5

So, the first result is 2q+5.

When you minus 2 from q = q-2

So, the second result is q-2.

According to the question, both results are equal. Equate both results to get the value of q.

`2q+5=q-2`

Isolate variable terms.

`2q-q=-5-2`

`q=-7`

Therefore, the value of q is -7.