Question

If a certain number is added to 1/2 of itself and the results is 1, what is the number?

Answer 1

Hello!

Answer:

`\Large \boxed{\sf (2)/(3)}`

Explanation:

→ We want to solve the number if "a certain number is added to 1/2 of itself and the results is 1".

→ Let the number be x

→ Let's translate the problem in equation:

`\sf x+(x)/(2) =1`

→ Let's solve this equation to find the number:

◼ Convert x in fraction with 2 as the denominator:

`\sf (2x)/(2) +(x)/(2) =1`

◼ Simplify the left side:

`\sf (3x)/(2) =1`

◼ Multiply both sides by 2:

`\sf (3x)/(2) * 2 =1 * 2`

◼ Simplify both sides:

`\sf 3x =2`

◼ Divide both sides by 3:

`\sf (3x)/(3) = (2)/(3)`

◼ Simplify both sides:

`\boxed{\sf x = (2)/(3)}`

Conclusion:

The number is 2/3.