Question

What number must be added to each term of the ratio 7:13 so that the resultant ratio may be equal to 5:7

Answer 1

Answer:

$\frac{7 + x}{13 + x} = \frac{5}{7} \\ 49 + 7x = 65 + 5x \\ 2x = 65 - 49 \\ x = \frac{16}{2} = 8 \\ the \: number \: is \: 8$