Question

If a number is added to the numerator of 11/37 and twice the number is added to the denominator of 11/37, the result is equivalent to 1/3. Find the number.

Answer 1

4

Explanation:

Let the number to be added be represented by x. Then we want ...

`(11+x)/(37+2x)=(1)/(3)\\\\3(11+x)=37+2x\\\\3x+33=2x+37 \quad\text{simplify}\\\\x=4 \quad\text{subtract $2x+33$}`

The number is 4.